hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Mostow–Palais theorem
In mathematics, the Mostow–Palais theorem is an equivariant version of the Whitney embedding theorem.  It states that if a manifold is acted on by a compact Lie group with finitely many orbit types, then it can be embedded into some finite-dimensional orthogonal representation. It was introduced by Mostow (1957) and Palais (1957).

Compact group
In mathematics, a compact (topological) group is a topological group whose topology realizes it as a compact topological space. Compact groups are a natural generalization of finite groups with the discrete topology and have properties that carry over in significant fashion. Compact groups have a well-understood theory, in relation to group actions and representation theory.

In the following we will assume all groups are Hausdorff spaces.
2011 D.C. United Women season
The 2011 season was the inaugural season of the D.C. United Women. For the 2011 season, D.C. United Women played in the W-League, the second tier of women's professional soccer in the United States and Canada, specifically in the Northeast Division of the Eastern Conference.

United began the season on May 25 and concluded the regular season on July 10. They won their first match against the New York Magic 3–0 with goals by Christine Nairn and Bri Hovington. The team finished the regular season with a 5-3-2 record, tied on points for second place in the division with the New Jersey Wildcats. However, they lost the tiebreaker on head-to-head competition and therefore fell short of making the W-League playoffs.

USL W-League (1995–2015)
The USL W-League was a North American  amateur women's soccer developmental organization. The league was a semi-professional, open league, giving college players the opportunity to play alongside established international players while maintaining their collegiate eligibility. The league was administered by the United Soccer Leagues system (the USL), which also oversees the men's United Soccer League and Premier Development League. The W-League announced on November 6, 2015, that it would cease operation ahead of 2016 season.

After the popularity of the 2019 FIFA Women's World Cup, though, USL began considerations for a new professional women's league; this effort eventually returned to the re-establishing of the league as the USL W League.
1963 Cork Junior Football Championship
The 1963 Cork Junior Football Championship was the 65th staging of the Cork Junior A Football Championship since its establishment by Cork County Board in 1895. The championship ran from 22 September to 2 December 1963.

The final was played on 1 December 1963 at the Castle Grounds in Macroom, between Millstreet and St Nicholas', in what was their first ever meeting in the final. Millstreet won the match by 3–07 to 2–08 to claim their second championship title overall and a first title in 22 years.

1941 Cork Junior Football Championship
The 1941 Cork Junior Football Championship was the 43rd staging of the Cork Junior Football Championship since its establishment by the Cork County Board in 1895.

The final was played on 7 December 1941 at the Fr Breen Memorial Park in Kenmare, in what remains the only final to be played outside the county. Millstreet faced Bere Island, in what was their first ever meeting in the final. Millstreet won the match by 1–02 to 0–03 to claim their first ever championship title.
Forsand Church
Forsand Church (Norwegian: Forsand kyrkje) is a parish church of the Church of Norway in the eastern part of the large Sandnes Municipality in Rogaland county, Norway. It is located in the village of Forsand, near the mouth to the Lysefjorden. It is one of the two churches for the Forsand parish which is part of the Sandnes prosti (deanery) in the Diocese of Stavanger. The white, wooden church was built in a long church design in 1854 by the builder Tollak Tollaksen Gudmestad using plans drawn up by the architect Hans Linstow. The church seats about 300 people.

Lysefjord
Lysefjord or Lysefjorden is a fjord located in the Ryfylke area in Rogaland county in southwestern Norway. The 42-kilometre (26 mi) long fjord lies in the municipalities of Strand and Sandnes, about 25 kilometres (16 mi) east of the city of Stavanger.

The name means light fjord, and is said to be derived from the lightly coloured granite rocks along its sides.  It is particularly well known for the huge Preikestolen cliff overlooking the fjord, which is a major tourist destination for the region.  The fairly isolated village of Lysebotn lies at the eastern end of the fjord and the villages of Forsand and Oanes both lie at the western end of the fjord near the Lysefjord Bridge, the only crossing of the fjord.
Cranbrook, Camperdown
Cranbrook is a heritage-listed residence at 14 Australia Street, Camperdown, New South Wales, a suburb of Sydney Australia. It was built from 1879 to 1881. It is also known as Fowlers House. It was added to the New South Wales State Heritage Register on 2 April 1999.

Municipality of Camperdown
The Municipality of Camperdown was a local government area of Sydney, New South Wales, Australia. The municipality was proclaimed in 1862 and, with an area of 1.6 square kilometres, covered the entire suburb of Camperdown, as well as small parts of Annandale, Newtown and Stanmore. The municipality unified in February 1870 with the Municipality of Cook, which had also been established in 1862 to the north. After years of financial difficulties, the Camperdown council was formally amalgamated with the City of Sydney on 22 December 1908.
Xantheranthemum
Xantheranthemum, known as the golden vein plant or bronze vein plant, is a genus of flowering plants in the family Acanthaceae. It has only one currently accepted species, Xantheranthemum igneum, native to Peru. It is grown as a greenhouse or house plant. There may be some confusion caused by the names of the botanists Linden and Lindau, as some sources associate it with Aphelandra goodspeedii Standl. & F.A.Barkley, along with Chamaeranthemum igneum Regel, Eranthemum igneum Linden, Stenandrium igneum (Linden) André, Stenandrium pictum N.E.Br., and Xantheranthemum igneum (Linden) Lindau.

Acanthaceae
Acanthaceae (/ækænˈθeɪsiːˌaɪ, -siˌi/) is a family (the acanthus family) of dicotyledonous flowering plants containing almost 250 genera and about 2500 species. Most are tropical herbs, shrubs, or twining vines; some are epiphytes. Only a few species are distributed in temperate regions. The four main centres of distribution are Indonesia and Malaysia, Africa, Brazil, and Central America. Representatives of the family can be found in nearly every habitat, including dense or open forests, scrublands, wet fields and valleys, sea coast and marine areas, swamps, and mangrove forests.
Kumbakonam block
Kumbakonam block is a community development block in the Kumbakonam taluk of Thanjavur District, Tamil Nadu, India. There are a total of 47 villages in this block. The block is surrounded by the Thirumanur and T.Palur blocks of Ariyalur District to the north, Thiruvidaimarudur and Thiruppanandal blocks of Thanjavur District to the east and Tiruvarur block of Tiruvarur District to the south and Papanasam block of Thanjavur district to the west. It is one of the six blocks of Thanjavur district watered by the Kaveri River.

Thanjavur district
Thanjavur district is one of the 38 districts of the state of Tamil Nadu, in southeastern India. Its headquarters is Thanjavur (Tanjore) . The district is located in the delta of the Cauvery River and is mostly agrarian.
1963 Liberty Bowl
The 1963 Liberty Bowl was a college football bowl game played at Philadelphia Stadium in Philadelphia, on December 21, 1963. The fifth edition of the Liberty Bowl was played between the Mississippi State Bulldogs and the North Carolina State Wolfpack before a crowd of 8,309 fans in brutally cold weather. Coach Paul E. Davis led Mississippi State to victory, but the significant dropoff in attendance from prior games led organizers to relocate the 1964 edition of the bowl to the Atlantic City Convention Hall (now known as Boardwalk Hall) in Atlantic City, New Jersey, as the first college bowl game ever played indoors.

Liberty Bowl
The Liberty Bowl is an annual American college football bowl game played in late December or early January since 1959. For its first five years, it was played at Philadelphia Municipal Stadium in Philadelphia before being held at Atlantic City Convention Hall in 1964. Since 1965, the game has been held at Simmons Bank Liberty Stadium in Memphis, Tennessee. Because of the scheduling of the bowl game near the end of the calendar year, no game was played during calendar years 2008 or 2015, while two games were played in calendar years 2010 and 2016.

Since 2004, the game has been sponsored by Memphis-based auto parts retailer AutoZone and officially known as the AutoZone Liberty Bowl. Previous sponsors include St. Jude Children's Research Hospital (1993–1996) and AXA Financial (1997–2003).
Luzin space
In mathematics, a Luzin space (or Lusin space), named for N. N. Luzin, is an uncountable topological T1 space without isolated points in which every nowhere-dense subset is countable. There are many minor variations of this definition in use: the T1 condition can be replaced by T2 or T3, and some authors allow a countable or even arbitrary number of isolated points.

The existence of a Luzin space is independent of the axioms of ZFC. Lusin (1914) showed that the continuum hypothesis implies that a Luzin space exists. 
Kunen (1977) showed that assuming Martin's axiom and the negation of the continuum hypothesis, there are no Hausdorff Luzin spaces.

Continuum hypothesis
In mathematics, specifically set theory, the continuum hypothesis (abbreviated CH) is a hypothesis about the possible sizes of infinite sets. It states:

There is no set whose cardinality is strictly between that of the integers and the real numbers.

In Zermelo–Fraenkel set theory with the axiom of choice (ZFC), this is equivalent to the following equation in aleph numbers: , or even shorter with beth numbers: .

The continuum hypothesis was advanced by Georg Cantor in 1878, and establishing its truth or falsehood is the first of Hilbert's 23 problems presented in 1900. The answer to this problem is independent of ZFC, so that either the continuum hypothesis or its negation can be added as an axiom to ZFC set theory, with the resulting theory being consistent if and only if ZFC is consistent. This independence was proved in 1963 by Paul Cohen, complementing earlier work by Kurt Gödel in 1940.

The name of the hypothesis comes from the term continuum for the real numbers.
WWRI (AM)
WWRI (1450 AM) is a radio station licensed to West Warwick, Rhode Island, and serving the Providence metropolitan area. The station is owned by Rick W. Schmidt, through licensee Turn Up Your Radio, LLC, and broadcasts a classic rock radio format.

WWRI transmits with 1,000 watts of power. It is also heard on FM translator W288EE in West Warwick, on 105.5 MHz. It uses the FM translator’s frequency in its moniker "I-105.5".

West Warwick, Rhode Island
West Warwick is a town in Kent County, Rhode Island, United States. The population was 31,012 at the 2020 census.

West Warwick was incorporated in 1913, making it the youngest town in the state. Prior to 1913, the town, situated on the western bank of the Pawtuxet River, was the population and industrial center of the larger town of Warwick. The town split because local Democratic politicians wanted to consolidate their power and isolate their section of town from the Republican-dominated farmland in the east.
Damir Čakar
Damir Čakar (Serbian Cyrillic: Дамир Чакар; born 28 June 1973) is a Montenegrin former professional footballer who played as either an attacking midfielder or a striker. He is known for his powerful shots and set pieces.

2006–07 Montenegrin Cup
The 2006–07 Montenegrin Cup was the first season of the Montenegrin knockout football tournament since Montenegro achieved independence. The winner of the tournament received a berth in the first qualifying round of the 2007–08 UEFA Cup. The competition featured 30 teams. It started on 3 October 2006 and ended with the on 30 May 2007. The first winner of the competition was Rudar, who beat Sutjeska in the final.
Catocala pretiosa
Catocala pretiosa, the precious underwing, is a moth of the family Erebidae. The species was first described by Joseph Albert Lintner in 1876. It was included in Catocala crataegi by many authors, but recently it has been revalidated as a distinct species. The subspecies of pretiosa is listed as a species of special concern and believed extirpated in the US state of Connecticut.

It is found from Massachusetts, Connecticut, and New Jersey west to Pennsylvania and south to Virginia and North Carolina and west to Tennessee into Louisiana and Oklahoma. Subspecies texarkana is found from Florida to Texas.

The wingspan is 40–50 mm. Adults are on wing from May to June. There is probably one generation per year.

Larvae feed on Amelanchier, Malus, Photinia arbutifolia, and Prunus maritima. The larvae of the pretiosa subspecies feeds on Amelanchier, Malus, and Aronia arbutifolia.

Amelanchier
Amelanchier (/æməˈlænʃɪər/ am-ə-LAN-sheer), also known as shadbush, shadwood or shadblow, serviceberry or sarvisberry (or just sarvis), juneberry, saskatoon, sugarplum, wild-plum or chuckley pear, is a genus of about 20 species of deciduous-leaved shrubs and small trees in the rose family (Rosaceae).

Amelanchier is native to temperate regions of the Northern Hemisphere, growing primarily in early successional habitats. It is most diverse taxonomically in North America, especially in the northeastern United States and adjacent southeastern Canada, and at least one species is native to every U.S. state except Hawaii and to every Canadian province and territory. Four species also occur in Asia, and two in Europe.

A pome fruit, the berries are commonly consumed by wildlife and picked by humans for uses in baked goods. The Canadian city of Saskatoon, Saskatchewan is named after a Cree term for the berry.
Sarcographa labyrinthica
Sarcographa labyrinthica is a species of corticolous (bark-dwelling) script lichen in the family Graphidaceae. The species grows on tree bark in tropical and subtropical forests, where it creates characteristic branching, crack-like fruiting bodies (lirellae) that resemble a labyrinth. It has been recorded from diverse locations including Florida, Costa Rica, Brazil, Madagascar, and Malaysia.

Graphidaceae
The Graphidaceae are a family of lichen-forming fungi in the order Graphidales. The family contains nearly a hundred genera and more than 2000 species. Although the family has a cosmopolitan distribution, most Graphidaceae species occur in tropical regions, and typically grow on bark. These lichens are characterized by their crust-like growth form and typically partner with orange-pigmented Trentepohlia algae. Many species produce distinctive elongated, slit-like fruiting bodies, and some have unusually large ascospores that can begin germinating almost immediately upon release. The family originated approximately 176 million years ago and has diversified steadily since, with major bursts of new species arising alongside the spread of flowering plants and tropical rainforests.
Battle of Modon (1500)
The Battle of Modon, aka the Second Battle of Lepanto, took place in August 1500 during the war of 1499–1503 between the Ottoman Empire and the Republic of Venice. The Ottomans, who had won the Battle of Zonchio (First Battle of Lepanto / Battle of Sapienza) the previous year, were again victorious under Admiral Kemal Reis.

Cephalonia
Kefalonia or Cephalonia (Greek: Κεφαλονιά [kefaloˈɲa]), formerly also known as Kefallinia or Kephallenia (Κεφαλληνία), is the largest of the Ionian Islands in western Greece and the 6th-largest island in Greece after Crete, Euboea, Lesbos, Rhodes and Chios. It is also a separate regional unit of the Ionian Islands region. It was a former Latin Catholic diocese Kefalonia–Zakynthos (Cefalonia–Zante) and short-lived titular see as just Kefalonia. The largest cities of Cephalonia are Argostoli and Lixouri.
Île Sainte-Marguerite
Île Sainte-Marguerite (pronounced [il sɛ̃tmaʁɡ(ə)ʁit]; French: Île Sainte-Marguerite, transl. Saint Margaret Island) is the largest of the Lérins Islands, about half a mile offshore from the French Riviera city of Cannes, situated in the Bay of Cannes. The island is approximately 3,200 metres (2.0 miles) in length (east to west) and 950 metres (0.59 miles) across (north to south).: 422–423  Sainte Marguerite Island is the closest of the Lérins Islands to Cannes, just 700 metres from the Palm-Beach headland, and the most extensive, covering an area of 2.1 square kilometres (210 hectares).: 422–423  It reaches an altitude of only 27.6 metres (0.0171 miles) in the north, near the fort.: 422–423

The island is most famous for its fortress prison, entitled the "Fort Royal" (French: "Fort Royal"), in which the so-called Man in the Iron Mask was held for 11 years (1687–1698) of his 34 years of imprisonment.

Cistern
A cistern (from Middle English  cisterne; from Latin  cisterna, from  cista 'box'; from Ancient Greek  κίστη (kístē) 'basket') is a waterproof receptacle for holding liquids, usually water. Cisterns are often built to catch and store rainwater. To prevent leakage, the interior of the cistern is often lined with hydraulic plaster.

Cisterns are distinguished from wells by their waterproof linings. Modern cisterns range in capacity from a few liters to thousands of cubic meters, effectively forming covered reservoirs.
2023 Women's Revelations Cup squads
The 2023 Women's Revelations Cup was the second edition of the Women's Revelations Cup, an international women's football tournament consisting of a series of friendly games held in León, Mexico from 15 to 21 February 2023. The four national teams involved in the tournament registered a squad of 23 players.

The age listed for each player is as 15 February 2023, the inauguration day of the tournament. The numbers of caps and goals listed for each player do not include any matches played after the start of tournament. A flag is included for coaches that are of a different nationality than their own national team.

2023 Women's Revelations Cup
The 2023 Women's Revelations Cup was the second edition of the Women's Revelations Cup, an international invitational women's football tournament organized by the Mexican Football Federation. Unlike the previous 2022 edition, the 2023 edition presented senior national teams. It was held in León, Mexico from 15 to 21 February 2023.

Host Mexico won the tournament after ending with the same number of points (5) and goal difference (+1) as Colombia, but with fewer yellow cards received (3 vs. 6).
Raja Natwarlal (soundtrack)
Raja Natwarlal is the soundtrack album to the 2014 film of the same name directed by Kunal Deshmukh and starring Emraan Hashmi, Humaima Malik, Paresh Rawal, Kay Kay Menon and Deepak Tijori. The six-song soundtrack featured music composed by Yuvan Shankar Raja in his Hindi film debut, and lyrics written by Irshad Kamil. The soundtrack was released through Junglee Music on 30 July 2014 to mostly positive reviews from critics.

Reprise
In music, a reprise (/rəˈpriːz/ rə-PREEZ, French: [ʁəpʁiz] ⓘ; from the verb reprendre 'to resume') is the repetition or reiteration of the opening material later in a composition as occurs in the recapitulation of sonata form, though—originally in the 18th century—was simply any repeated section, such as is indicated by beginning and ending repeat signs.

A partial or abbreviated reprise is known as a petite reprise (/pəˌtiːt rəˈpriːz/ pə-TEET rə-PREEZ, French: [p(ə)tit ʁəpʁiz]). In Baroque music this usually occurs at the very end of a piece, repeating the final phrase with added ornamentation.
Crocanthes symmochlopa
Crocanthes symmochlopa is a moth in the family Lecithoceridae. It was described by Edward Meyrick in 1929. It is found in the Bismarck Archipelago (Papua New Guinea) on New Ireland and New Hanover Islands. The former is the type locality of Crocanthes symmochlopa whereas the latter is the type locality of Crocanthes triglenopa, which is considered synonym of Crocanthes symmochlopa in some but not all sources.

The wingspan is 12–13 mm (0.47–0.51 in).

Bismarck Archipelago
The Bismarck Archipelago (German: Bismarck-Archipel, pronounced [ˈbɪsmaʁk ˌaʁçiˈpeːl]) is a group of islands located just off the northeastern coast of New Guinea in the western Pacific Ocean, part of the Islands Region of Papua New Guinea. Its area is about 50,000 square kilometres (19,000 sq mi).
Project Isabela
The Project Isabela (Spanish: Proyecto Isabela) was an environmental restoration project in the Galápagos Islands of Ecuador that took place between 1997 and 2006, initiated by the Charles Darwin Foundation and the Galápagos National Park. Species introduced in the 16th and 17th centuries to the islands, mainly goats and some donkeys and pigs, brought ecological devastation to the islands and posed as a threat to the Galápagos tortoise that was by the 1990s near extinction. By 1997, plans had been officially implemented to eradicate these introduced species in northern Isabela, Santiago, and Pinta islands. Skilled park rangers used helicopters to hunt, and sterilized Judas goats fitted with radio collars, to track down the feral goats. The initiative was brought into action in 1999, and by 2006, 150,000 goats alone were eradicated. As of 2011, the project was the world's largest ecological island restoration effort ever.

Charles Darwin Research Station
Charles Darwin Research Station (CDRS) (Spanish: Estación Científica Charles Darwin, ECCD)  is a biological research station in Puerto Ayora, Santa Cruz Island, Galápagos, Ecuador.  The station is operated by the Charles Darwin Foundation which was founded in 1959 under the auspices of UNESCO and the World Conservation Union. The research station serves as the headquarters for the Foundation, and is used to conduct scientific research and promote environmental education. It is located on the shore of Academy Bay in the village of Puerto Ayora on Santa Cruz Island in the Galapagos Islands, with satellite offices on Isabela and San Cristóbal islands.
2021 Pittsburgh mayoral election
The 2021 Pittsburgh mayoral election took place on November 2, 2021. The primary election was held on May 18, 2021. The Democratic nominee, State Representative Ed Gainey, defeated the Republican nominee, retired police officer Tony Moreno.

Incumbent Democratic Mayor Bill Peduto ran for re-election to a third term in office, but lost renomination to state representative Ed Gainey. Four Democrats and no Republicans filed to appear on their respective primary ballots. Tony Moreno, though having unsuccessfully sought the Democratic nomination, was the Republican nominee after having earned sufficient votes in the Republican primary as a write-in candidate to win the nomination. Two independent candidates had originally indicated an intention to file to appear on the general election ballot, though one withdrew and the other was removed from the ballot by judicial order. With 70,885 ballots cast, this was the highest turnout for a Pittsburgh mayoral race since 1997.

Allegheny County, Pennsylvania
Allegheny County (/ˌælɪˈɡeɪni/ AL-ig-AY-nee) is a county in Pennsylvania, United States. As of the 2020 census, the population was 1,250,578, making it the state's second-most populous county, after Philadelphia County. Its county seat and most populous city is Pittsburgh, Pennsylvania's second most populous city. The county is part of the Greater Pittsburgh region of the commonwealth, and is the center of the Pittsburgh media market.

Allegheny was the first county in Pennsylvania to be given a Native American name. It was named after the Lenape word for the Allegheny River. The meaning of "Allegheny" is uncertain. It is usually said to mean "fine river". Some historians state that the name may come from a Lenape account of an ancient mythical tribe called "Allegewi" who lived along the river before being taken over by the Lenape.