hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Baire space (set theory)
In set theory, the Baire space is the set of all infinite sequences of natural numbers with a certain topology, called the  product topology.  This space is commonly used in descriptive set theory, to the extent that its elements are often called "reals". It  is denoted by , or ωω, or by the symbol  or sometimes by ωω (not to be confused with the countable ordinal obtained by ordinal exponentiation).

The Baire space is defined to be the Cartesian product of countably infinitely many copies of the set of natural numbers, and is given the product topology (where each copy of the set of natural numbers is given the discrete topology).  The Baire space is often represented using the tree of finite sequences of natural numbers.

(This space should also not be confused with the concept of a Baire space, which is a certain kind of topological space.)

The Baire space can be contrasted with Cantor space, the set of infinite sequences of binary digits.

Baire space
In mathematics, a topological space  is said to be a Baire space if countable unions of closed sets with empty interior also have empty interior.
According to the Baire category theorem, compact Hausdorff spaces and complete metric spaces are examples of Baire spaces.
The Baire category theorem combined with the properties of Baire spaces has numerous applications in topology, geometry, and analysis, in particular functional analysis. For more motivation and applications, see the article Baire category theorem.  The current article focuses more on characterizations and basic properties of Baire spaces per se.

Bourbaki introduced the term "Baire space" in honor of René Baire, who investigated the Baire category theorem in the context of Euclidean space  in his 1899 thesis.
Claude Giroux (wrestler)
Claude Giroux (born July 13, 1956) is a Canadian midget wrestler. Giroux's biggest exposure came when he performed as Doink the Clown's sidekick Dink in the World Wrestling Federation between 1993 and 1995. Outside of his stint as Dink the Clown, Giroux also performed in the WWF as Tiger Jackson in the 1980s and as  The Macho Midget in the 1990s.

Doink the Clown
Doink the Clown is a professional wrestling gimmick originally and most popularly portrayed by Matt Borne, who debuted the Doink persona in the World Wrestling Federation (now WWE) in 1992. Doink is a clown wearing traditional clown makeup (or a mask decorated to resemble such) and brightly colored clothes. He began as a heel character, dubbed the "Evil Clown", before becoming a face character. In addition to Borne, Doink has been portrayed occasionally by other wrestlers in the WWE and unofficially on the independent circuit.

Former WWE producer Bruce Prichard said in an interview on The Steve Austin Show that Michael Hegstrand had originally conceived the idea of a miserable clown character.
Pure Attraction
Pure Attraction is the fourth full-length album by singer-songwriter Kathy Troccoli, released on October 29, 1991, through Reunion Records. Coming five years after her 1986 album, Images, Pure Attraction saw Troccoli shifting away from Christian music and into mainstream pop territory, with two songs written by Diane Warren. It featured the top five CCM and top twenty pop hit "Everything Changes", and featured seven songs co-written by Troccoli. The album peaked at number 9 on the Billboard Top Christian Albums chart.

Images (Kathy Troccoli album)
Images is the third full-length studio album by Christian singer/songwriter Kathy Troccoli, released in 1986 on Reunion Records. It did not sell as well as her previous two albums. Despite that, Images still earned Troccoli a Grammy nomination for Best Gospel Performance, Female  at the 30th Grammy Awards in 1988. After the release of Images, Troccoli embarked on a five-year sabbatical from her recording career and would not release another album until 1991's Pure Attraction. Images peaked at No. 25 on the Billboard Top Inspirational Albums chart.
Minet ed Dhalia point
A Minet ed Dhalia point or stylet is an archaeological term for an elongated, isosceles triangle made with pressure flaking on both faces of a piece of flint. They are predominantly found at sites in Lebanon (ancient Canaan). They are the type tool of the Énéolithique Ancien (Ancient Chalcolithic), named after the archaeological site of Minet ed Dhalia in Ras Beirut. The stylets range from 2 inches (5.1 cm) to 8 inches (20 cm) in length. They were first observed by Dawson in 1884 and later by Godefroy Zumoffen in 1910 and called "stylets" by Raoul Describes. The exact use of Minet ed Dhalia points is uncertain although the shape bears certain similarities to metal fleshing tools used in the area in modern times.

Ras Beirut
Ras Beirut (Arabic: رأس بيروت, lit. 'tip of Beirut') is an upscale residential neighborhood in Beirut, Lebanon. It has a mixed population of Christians, Muslims and Druze, and is associated with nonsectarian relations between members of thee groupings.

Ras Beirut is home to some of Beirut's historically prominent families, such as the Bekhazi family, the Rebeiz family, the Daouk family, the Itani family, the Sinno family, and the Sidani family, the Beyhum family and others. Included in the area are a number of international schools and universities, including the American University of Beirut (AUB) and International College Beirut (IC).
Elizabeth Cheshire
Elizabeth Cheshire (born March 3, 1967) is an American actress known for appearing in the films as Airport '77 (1977), Looking for Mr. Goodbar (1977), Sunshine Christmas (1977), Melvin and Howard (1980) and Strange Behavior (1980), and television series such as The Family Holvak and Sunshine. Most of her credits were when she was a child actress or teenage actress.

Cheshire is the daughter of Jerry and Enid Cheshire, and she has three older sisters.

Melvin and Howard
Melvin and Howard (stylized as Melvin (and Howard)) is a 1980 American comedy-drama film directed by Jonathan Demme. The screenplay by Bo Goldman was inspired by real-life Utah service station owner Melvin Dummar, who was listed as the beneficiary of $156 million in a will allegedly handwritten by Howard Hughes that was discovered in the headquarters of the Church of Jesus Christ of Latter-day Saints in Salt Lake City. A novelization of Goldman's script, which itself won the Academy Award for Best Screenplay – Written Directly for the Screen, later was written by George Gipe. The film stars Paul Le Mat, Jason Robards, and Mary Steenburgen, who won the Academy Award for Best Supporting Actress. The film was released on September 19, 1980, receiving positive reviews from critics.
Moriguchi Route
The Moriguchi Route (守口線, Moriguchi-sen), signed as Route 12, is one of the routes of the Hanshin Expressway system serving the Keihanshin area in Kansai, Japan. It travels in a southwest to northeast direction in Osaka and the neighboring city of Moriguchi, from the Loop Route, in the Kita ward of Osaka, to National Route 1 in the city of Moriguichi. The expressway has a total length of 10.8 kilometers (6.7 mi). It was first opened in 1968, but was completed in 1971.

Hanshin Expressway
The Hanshin Expressway (阪神高速道路, Hanshin Kōsoku Dōro, Japanese pronunciation: [haɰ̃.ɕiŋ koː.so.kɯ doꜜː.ɾo]) is a 239.3-kilometer-long (148.7 mi) network of expressways surrounding Osaka, Kobe and Kyoto, Japan.
Yotari
The yotari mouse is an autosomal recessive mutant. It has a mutated disabled homolog 1 (Dab1) gene. This mutant mouse is recognized by unstable gait ("Yota-ru" in Japanese means "unstable gait") and tremor and by early deaths around the time of weaning. The cytoarchitectures of cerebellar and cerebral cortices and hippocampal formation of the yotari mouse are abnormal. These malformations resemble those of reeler mouse.

DAB1
The Disabled-1 (Dab1) gene encodes a key regulator of Reelin signaling. Reelin is a large glycoprotein secreted by neurons of the developing brain, particularly Cajal-Retzius cells. DAB1 functions downstream of Reln in a signaling pathway
that controls cell positioning in the developing brain and during adult neurogenesis. It docks to the intracellular part of the Reelin very low density lipoprotein receptor (VLDLR) and apoE receptor type 2 (ApoER2) and becomes tyrosine-phosphorylated following binding of Reelin to cortical neurons. In mice, mutations of Dab1 and Reelin generate identical phenotypes. In humans, Reelin mutations are associated with brain malformations and mental retardation. In mice, Dab1 mutation results in the scrambler mouse phenotype.

With a genomic length of 1.1 Mbp for a coding region of 5.5 kb, DAB1 provides a rare example of genomic complexity, which will impede the identification of human mutations.
Lansing Senators
The Lansing Senators were a long running minor league baseball team based in Lansing, Michigan. Between 1895 and 1941, the Lansing "Senators" teams played as members of the Michigan State League (1895, 1897, 1902), Southern Michigan League (1907–1914) and Central League (1921–1922) before a final Michigan State League season in 1941. The Senators won the Southern Michigan League pennant in 1910.

Lansing hosted home minor league games at multiple ballparks in their years of minor league play. Lansing played home games at Parshall Park (1895, 1897, 1902), Waverly Park (1906–1915), Community Park (1921–1922) and Municipal Park (1941).

Baseball Hall of Fame member Bud Fowler played for the 1895 Lansing Senators.

The 1941 Lansing Senators were the last minor league team hosted in Lansing prior to the Lansing Lugnuts beginning play in 1996.

Michigan State League
The Michigan State League was a minor league baseball league that operated in various seasons between 1889 and 1941. The league franchises were based exclusively in Michigan, with the league forming on six different occasions. Twenty two different cities hosted teams in the Michigan State league.
The Earth Pressed Flat
The Earth Pressed Flat is the seventh album by 10,000 Maniacs, released in 1999. The album contains nine songs that had been written for, but not used in, the band's previous album, Love Among the Ruins: "The Earth Pressed Flat", "Once a City", "On & On (Mersey Song)", "Somebody's Heaven", "Cabaret", "Beyond the Blue", "Smallest Step", "Time Turns" and "Hidden in My Heart". "Beyond the Blue" and "Time Turns" had been released on the single "More Than This", but were re-recorded for this album.

All tracks are credited to 10,000 Maniacs as a band for royalty purposes, though the lyricists of the songs received additional credit. Dennis Drew wrote "Ellen", "Glow", "Smallest Step" and "Rainbows". John Lombardo wrote "The Earth Pressed Flat", "Once a City", "On & On (Mersey Song)", "Beyond the Blue" and "Time Turns". Lombardo and Drew shared writing credit on "Hidden in My Heart". Lombardo, Mary Ramsey and Rob Buck shared writing credit on "Somebody's Heaven".

Dennis Drew
Dennis Arnold Drew (born August 8, 1957) is the keyboardist for the American alternative rock band 10,000 Maniacs. He has been with the band since its inception in 1981 and is one of three founding members along with Steve Gustafson and John Lombardo in the current band lineup. Drew also spent 17 years (2004-2021) as the general manager of WRFA-LP, a community radio station in Jamestown, New York. He previously had a stint at WNAE-AM in nearby city Warren, PA, before the band's beginning.
Dax Shepard
Dax Randall Shepard (born January 2, 1975) is an American actor, comedian, and filmmaker. Since 2018, he has hosted Armchair Expert, a podcast in which he interviews celebrities, journalists, and academics about their lives.

Shepard has appeared in the feature films Without a Paddle (2004), Zathura: A Space Adventure (2005), Employee of the Month (2006), Idiocracy (2006), Let's Go to Prison (2006), Hit and Run (2012), and CHiPs (2017), the last two of which he also wrote and directed. Shepard portrayed Crosby Braverman in the NBC comedy-drama series Parenthood from 2010 to 2015. He played Luke Matthews in the Netflix show The Ranch, co-starred in ABC's Bless This Mess and acted in the MTV practical joke reality series Punk'd (2003).

He is a co-founder of the diaper and baby product company Hello Bello with his wife Kristen Bell.

Armchair Expert
Armchair Expert is a weekly podcast hosted by American actors Dax Shepard and Monica Padman. Each podcast features Shepard and Padman interviewing celebrities, journalists, and academics about "the messiness of being human". The podcast premiered February 14, 2018, with Shepard's wife, actress Kristen Bell, as the first guest. It appeared on Vulture's list of 2018's best comedy podcasts and was reviewed by The Irish Times. Shepard and Padman have also taken their podcast on the road, recording episodes in front of live audiences.
Kumano River
The Kumano River (熊野川, Kumanogawa) is a river in the Kii Peninsula of central Japan, located in Nara, Wakayama and Mie Prefectures. It is 183 kilometres (114 mi) long and has a watershed of 2,630 square kilometres (1,020 sq mi).

The river rises from Mount Ōmine in the Yoshino-Kumano National Park in Tenkawa, Nara and follows a generally southward course to drain into the Pacific Ocean on the border between Shingū, Wakayama and Kihō, Mie. The river is part of the Sacred Sites and Pilgrimage Routes in the Kii Mountain Range, a UNESCO World Heritage Site which incorporates nature scenery of the Kii peninsula with numerous Buddhist temples and Shinto shrines forming a pilgrimage route.

Municipalities through which the river passes are:

Nara Prefecture
Tenkawa, Nara
Gojō, Nara
Totsukawa, Nara

Wakayama Prefecture
Tanabe, Wakayama
Shingū, Wakayama

Mie Prefecture
Kumano, Mie
Kihō, Mie

Tenkawa, Nara
Tenkawa (天川村, Tenkawa-mura) is a village located in Yoshino District, Nara Prefecture, Japan. As of 1 January 2025, the village had an estimated population of 1,031 and a population density of 5.9 persons per km2. The total area of the village is 175.66 km2 (67.82 sq mi).
Deep Waters (1948 film)
Deep Waters is a 1948 American drama film directed by Henry King and starring Dana Andrews, Jean Peters and Cesar Romero. The film is based on the 1946 novel Spoonhandle written by Ruth Moore and was nominated for a 1949 Oscar for Best Special Effects (specifically, for the storm at sea sequence), but lost to Portrait of Jennie.

The film was released in the UK in 1949, a year after its American theatrical release.

Jean Peters
Elizabeth Jean Peters (October 15, 1926 – October 13, 2000) was an American film actress. She was known as a star of 20th Century Fox in the late 1940s and early '50s, and as the second wife of Howard Hughes. Although possibly best remembered for her siren role in Pickup on South Street (1953), Peters was known for her resistance to being turned into a sex symbol. She preferred to play unglamorous, down-to-earth women.

Late in her career, and after her retirement, Peters occasionally played roles in TV productions, appearing in four from 1973 to 1988.
Evert Skoglund
Evert Skoglund (born 10 May 1953) is an Italian-Swedish former professional footballer. He played in many years in the Italian leagues.

His father Lennart Skoglund was a famous player for F.C. Internazionale Milano and Sweden men's national football team. His younger brother Giorgio Skoglund also played football professionally. To distinguish them, Evert was known as Skoglund I and Giorgio as Skoglund II.

Lennart Skoglund
Karl Lennart "Nacka" Skoglund (pronounced [ˈlɛ̌nːaʈ ˈnâkːa ˈskûːɡlɵnd]; 24 December 1929 – 8 July 1975) was a Swedish footballer who played as left winger. He began his career in his home country with Hammarby IF, but later played for several Italian clubs, most notably Inter Milan, with whom he won two Serie A titles over nine years.

One of the most renowned Swedish players, Skoglund was particularly known for his dribbling ability. In addition to his success at club level, Skoglund was a member of the Swedish teams that finished third in the 1950 FIFA World Cup and second in the 1958 FIFA World Cup.
Fatteshikast
Fatteshikast (transl. Win by brave efforts) is a 2019 Indian Marathi-language historical drama film directed by Digpal Lanjekar and produced under the banner of Almonds Creations Ajay Arekar and Anirudh Arekar in association with AA Films. The film stars Chinmay Mandlekar, Mrinal Kulkarni, Sameer Dharmadhikari, along with Ankit Mohan and Mrunmayee Deshpande in supporting roles. The music of the film is composed by Devdutta Manisha Baji and the soundtrack includes devotional song of Sant Tukaram. A sequel to Farzand (2018), it is the second film in Lanjekar's Shri Shivraj Ashtak film series in an eight movies series on Maratha Empire. It was followed by the Pawankhind (2022).

Mrinal Kulkarni
Mrinal Kulkarni (née Deo; born 21 June 1968) is an Indian actress and director known for her work in several films and television productions. She is best known for her role as Mirabai in Doordarshan's Meerabai and as a fairy on Star Plus's Son Pari.

She has  also acted in Marathi language and Hindi TV serials and films.
SunLine Transit Agency
SunLine Transit Agency is a transit operator in Riverside County, California, United States, providing bus service to more than 3.5 million passengers per year in the Palm Springs Area. Service extends into San Bernardino Transit Center during peak hours. In 2024, the system had a ridership of 2,840,200, or about 7,600 per weekday as of the third quarter of 2025.

San Bernardino Transit Center
The San Bernardino Transit Center (Metrolink designation San Bernardino–Downtown station and also known as Downtown San Bernardino station) is an intermodal transit center in downtown San Bernardino, California, United States. It is owned and operated by Omnitrans, the area's public transportation agency. Opened in September 2015, the center consolidates three Metrolink commuter rail services and more than a dozen local bus services, including the sbX bus rapid transit service into one central location.
Shehan Karunatilaka
Shehan Karunatilaka (born 1975) is a Sri Lankan writer. He grew up in Colombo, studied in New Zealand and has lived and worked in London, Amsterdam and Singapore. His 2010 debut novel Chinaman: The Legend of Pradeep Mathew won the Commonwealth Book Prize, the DSC Prize, the Gratiaen Prize and was adjudged the second greatest cricket book of all time by Wisden. His second novel The Seven Moons of Maali Almeida (Sort of Books, 2022) was announced as the winner of the 2022 Booker Prize on 17 October 2022.

The Seven Moons of Maali Almeida
The Seven Moons of Maali Almeida is a 2022 novel by Sri Lankan author Shehan Karunatilaka and winner of the 2022 Booker Prize. The Seven Moons of Maali Almeida was published on 4 August 2022 by the small independent London publisher Sort of Books (ISBN 978-1908745903). An earlier version of the novel was originally published in the Indian subcontinent as Chats with the Dead in 2020.
Valerie von Martens
Valérie von Martens (German pronunciation: [ˈvaləˌʁi fɔn ˈmaʁtn̩s] ⓘ; 4 November 1894 – 7 April 1986), born Valérie Pajér Edle von Mayersperg, was a German-Austrian actress.

Valérie von Martens was born in Lienz, Tirol, daughter of the Austrian admiral Rudolf Pajér Edler von Mayersperg. She was an actress in Vienna when she had a relationship with the cabaret artist Karl Farkas.  In 1922 she met the actor Curt Goetz.  They married on 20 December 1923 in Berlin.  She then appeared with him on stage and screen, mainly in pieces written or directed by him. She co-directed the 1951 film The House in Montevideo with Goetz in which they featured in the lead roles.

She died in Riehen, Switzerland, and is buried in the Heerstrasse cemetery in Berlin, alongside her husband.

The House in Montevideo (1951 film)
The House in Montevideo (German: Das Haus in Montevideo) is a 1951 West German comedy film directed by Curt Goetz and Valérie von Martens and starring Goetz, von Martens, Albert Florath and Lia Eibenschütz. It is an adaptation of Goetz's 1945 comic play The House in Montevideo. Goetz and von Martens had frequently played the lead parts on the stage.

It was shot at the Göttingen Studios and on location at Cuxhaven and the Uruguayan capital Montevideo. The film's sets were designed by the art director Emil Hasler.

The play was later adapted into another film of the same title in 1963.
Halina Janiszewska
Halina Janiszewska (born Halina Maria Rogoyska on May 1, 1909, in Vitkovice, Moravia, died on November 17, 2006, in New York City) was a Polish social and political activist as well as a long-time member of the executive board of the Józef Piłsudski Institute of America.

Józef Piłsudski Institute of America
The Józef Piłsudski Institute of America (full name: Józef Piłsudski Institute of America for Research in the Modern History of Poland) is a museum and research center devoted to the study of modern Polish history and named after the Polish interwar statesman Józef Piłsudski located in Greenpoint, Brooklyn.
Heavy Rotation (song)
"Heavy Rotation" (ヘビーローテーション, Hebī Rōtēshon) is Japanese idol group AKB48's 17th single, released on August 18, 2010. The video was directed by photographer and movie producer Mika Ninagawa. The title song of this single, widely known as HR, was a huge karaoke hit and  led the respective JOYSOUND charts for 43 weeks.

As of August 2024, the song has been covered in Indonesian by JKT48, in Mandarin by three different groups SNH48, AKB48 Team SH and AKB48 Team TP, in Tagalog by MNL48, in Vietnamese by SGO48, in Thai by BNK48, and in Malay by KLP48.

BNK48
BNK48 (read B.N.K. Forty-eight) is a Thai idol girl group and the third international sister group of Japan's AKB48, following Indonesia's JKT48 and China's SNH48 (Former).

After holding its first audition in mid-2016 and announcing its first-generation members in early 2017, the group officially debuted on 2 June 2017 and released the debut single, "Aitakatta", on 8 August 2017. Its second single, "Koisuru Fortune Cookie", released on 20 December 2017, was a great success. As of February 2026, the group has 40 members.

The group is named after Bangkok, the capital city of Thailand, where its theatre, BNK48 the Campus, is located. Orchid, a flower popular in the country, serves as both the colour and motif of the group.

BNK48 announced the formation of their first sister group, CGM48 (named after the city of Chiang Mai), on 2 June 2019. CGM48 is the first domestic sister group to be launched outside Japan and second sister group of 48 Group in Thailand.
Bobby Mitchell
Robert Cornelius Mitchell (June 6, 1935 – April 5, 2020) was an American professional football player who was a halfback and wide receiver in the National Football League (NFL). He played college football for the Illinois Fighting Illini and professionally for the Cleveland Browns and Washington Redskins. In 1962 he was the first black player to sign with the Redskins, who were the last NFL team to racially integrate.

After his playing career, Mitchell became an executive with Washington. He joined their scouting department in 1969 and was named assistant general manager in 1981, spending over 40 years with the team in total before retiring in 2002. He was inducted into the Pro Football Hall of Fame in 1983 and had his jersey number 49 retired by the team following his death in 2020.

Leroy Jackson
Leroy Jackson (born December 8, 1939) is an American former professional football player who was a halfback for the Washington Redskins of the National Football League (NFL). He was among the first black players to play for the Redskins in 1962, who were the last NFL team to racially integrate.