OpenLLM-France/wikimedia huggingface dataset:
# Grothendieck's Galois theory

In mathematics, Grothendieck's Galois theory is an abstract approach to the Galois theory of fields, developed around 1960 to provide a way to study the fundamental group of algebraic topology in the setting of algebraic geometry. It provides, in the classical setting of field theory, an alternative perspective to that of Emil Artin based on linear algebra, which became standard from about the 1930s.
The approach of Alexander Grothendieck is concerned with the category-theoretic properties that characterise the categories of finite G-sets for a fixed profinite group G. For example, G might be the group denoted ${\hat {\mathbb {Z} }}$ (see profinite integer), which is the inverse limit of the cyclic additive groups $\mathbb {Z} /n\mathbb {Z}$ — or equivalently the completion of the infinite cyclic group $\mathbb {Z}$ for the topology of subgroups of finite index. A finite G-set is then a finite set X on which G acts through a quotient finite cyclic group, so that it is specified by giving some permutation of X.
In the above example, a connection with classical Galois theory can be seen by regarding ${\hat {\mathbb {Z} }}$ as the profinite Galois group Gal(F/F) of the algebraic closure F of any finite field F, over F. That is, the automorphisms of F fixing F are described by the inverse limit, as we take larger and larger finite splitting fields over F. The connection with geometry can be seen when we look at covering spaces of the unit disk in the complex plane with the origin removed: the finite covering realised by the z$^n$ map of the disk, thought of by means of a complex number variable z, corresponds to the subgroup $n\mathbb {Z}$ of the fundamental group of the punctured disk.
The theory of Grothendieck, published in SGA1, shows how to reconstruct the category of G-sets from a fibre functor $\Phi$, which in the geometric setting takes the fibre of a covering above a fixed base point (as a set). In fact there is an isomorphism proved of the type
    $G\cong \operatorname {Aut} (\Phi )$,
the latter being the group of automorphisms (self-natural equivalences) of $\Phi$. An abstract classification of categories with a functor to the category of sets is given, by means of which one can recognise categories of G-sets for G profinite.
To see how this applies to the case of fields, one has to study the tensor product of fields. In topos theory this is a part of the study of atomic toposes.
# Dąbrówka Szczepanowska

Dąbrówka Szczepanowska is a village in the administrative district of Gmina Pleśna, within Tarnów County, Lesser Poland Voivodeship, in southern Poland. It lies approximately 17 kilometres (11 mi) south-west of Tarnów and 69 km (43 mi) east of the regional capital Kraków.
# Snorri Einarsson

Snorri Einarsson (born 21 February 1986) is an Icelandic cross-country skier born in Norway. His father is Icelandic, and his mother is Norwegian; he now competes for that nation. He now lives in Isafjörður, Iceland with his girlfriend and four children. He competed for Iceland at the 2018 Winter Olympics. Einarsson has participated in the Tour de Ski representing both Norway and Iceland. His 18th place in the 50 km in the Seefeld World Championships and 15th place at the 2023 World Championships make him the most accomplished cross-country skier in Iceland ever.
In Norway he represented the club Tromsø SK.

## Cross-country skiing results

All results are sourced from the International Ski Federation (FIS).

### Olympic Games

| Year | Age | 15 km  individual | 30 km  skiathlon | 50 km  mass start | Sprint | 4 × 10 km  relay | Team  sprint |
| 2018 | 32 | 56 | 56 | DNF | — | — | — |
| 2022 | 36 | 36 | 29 | 23 | — | — | — |
$^a$ Distance reduced to 30 km due to weather conditions.

### World Championships

| Year | Age | 15 km  individual | 30 km  skiathlon | 50 km  mass start | Sprint | 4 × 10 km  relay | Team  sprint |
| 2017 | 31 | 43 | 39 | — | — | — | — |
| 2019 | 33 | 43 | 39 | 18 | — | — | — |
| 2021 | 35 | 59 | 57 | — | — | — | 27 |
| 2023 | 37 | 22 | 28 | 15 | — | — | 22 |

### World Cup
#### Season standings

| Season | Age | Discipline standings | Discipline standings | Discipline standings | Ski Tour standings | Ski Tour standings | Ski Tour standings | Ski Tour standings |
| Season | Age | Overall | Distance | Sprint | Nordic Opening | Tour de Ski | Ski Tour 2020 | World Cup Final |
| 2010 | 24 | NC | NC | — | — | — | — | — |
| 2011 | 25 | 125 | 83 | NC | — | 30 | — | — |
| 2012 | 26 | NC | NC | — | — | — | — | — |
| 2013 | 27 | 164 | NC | 106 | — | DNF | — | — |
| 2017 | 31 | NC | NC | — | — | — | — | — |
| 2018 | 32 | 109 | 84 | NC | 27 | — | — | — |
| 2019 | 33 | 121 | 84 | NC | 58 | 37 | — | — |
| 2020 | 34 | 108 | 63 | NC | 63 | — | 38 | — |
| 2021 | 35 | 133 | 93 | NC | 58 | 41 | — | — |
| 2022 | 36 | 153 | 90 | NC | — | DNF | — | — |
| 2023 | 37 | | | | — | — | — | — |
# Frank Edelblut

Louis Frank Edelblut (born May 21, 1961) is an American businessman and politician who is the Commissioner of the New Hampshire Department of Education. Edelblut formerly served as a Republican member of the New Hampshire House of Representatives. During his term in the House, Edelblut represented Hillsborough County District 38, including the towns of Antrim, Bennington, Francestown, Greenville, Greenfield, Hancock, Hillsborough, Lyndeborough, Wilton, and Windsor. He served on the Finance Committee, Special Committee on Pensions, and the Child and Family Law Committee. He was a Republican candidate for Governor of New Hampshire in 2016, narrowly finishing second in the primary.

## Early life and career

Edelblut attended the University of Rhode Island where he earned a Bachelor of Science, Business Administration – Accounting in 1983. Edelblut also holds a Masters of Theological Studies from the Holy Cross Greek Orthodox School of Theology, 2015.
Edelblut started his career as an auditor for PricewaterhouseCoopers (PwC) in South Florida (Miami, Fort Lauderdale, and West Palm Beach) where he worked as a Certified Public Accountant auditing a variety of businesses. He then briefly worked as the CFO for one of his PwC clients, Niagara Corp., In 2013, he left Common Angels and now does early-stage investing on his own.

## Political career

Edelblut served on the New Hampshire House of Representatives Finance Committee, Special Committee on Pensions and on the Child and Family Law committee.
Edelblut was the prime sponsor of a number of bills in 2016, including bills on net metering, freedom of speech on college campuses, arming otherwise-unarmed New Hampshire National Guard facilities, supporting the ability of members of the military to wear dress uniforms in graduation ceremonies, and several measures in the family court to try to reduce conflict in already difficult divorce proceedings.
In 2016, Edelblut announced he would not seek reelection as state representative and would instead be a Republican candidate for Governor of New Hampshire during the 2016 primary election. Edelblut ultimately lost the election to now-Governor Chris Sununu by fewer than 900 votes. The pair appeared at a joint press conference on the steps of the Capital Building the day following the election, where Edelblut endorsed Sununu.
In January 2017, Governor Chris Sununu nominated Edelblut to be the Commissioner of the New Hampshire Department of Education. Edelblut was confirmed by the Republican led New Hampshire Executive Council in February.

## Personal life

Edelblut and his wife have seven children, all of whom have been home educated. He has competed in triathlons and Nordic ski racing, including a biathlon.
# Scott Sociable

The Scott Sociable was an English automobile manufactured from 1921 to 1925 by the Scott Autocar Company of Bradford, Yorkshire, an offshoot of the Scott Motorcycle Company.
During World War I Alfred Angas Scott had made sidecar machine gun carriers. From these he developed a three-wheel car with two wheels in line and a third one set alongside the other rear wheel, all supported by a triangulated tubular steel frame. The layout was mostly derived from a motorcycle-and-sidecar combination, but wheel steering was accomplished by rack and pinion. It used a water-cooled 578 cc twin-cylinder two-stroke engine supplied by the Scott Motorcycle Company. Power was transmitted through a three-speed gearbox to the offside rear wheel by shaft. There was no reverse gear.
Braking could be dangerous at speed, as the two rear brakes were operated individually: the drive wheel by a hand lever, the balance wheel by a foot pedal.
The vehicle was intended for military use, but orders failed to come, so Scott converted it to civilian use and announced it in 1916 as the Sociable. Due to wartime, production had to wait until 1921. About 200 were made before production stopped in 1924. Complete cars cost £273 in 1921, falling to £135 by 1924.
# Dąbrówki Breńskie

Dąbrówki Breńskie (Polish pronunciation:) is a village in the administrative district of Gmina Olesno, within Dąbrowa County, Lesser Poland Voivodeship, in southern Poland. It lies approximately 4 kilometres (2 mi) north of Olesno, 10 km (6 mi) north of Dąbrowa Tarnowska, and 76 km (47 mi) east of the regional capital Kraków.
# Sara Svendsen

Sara Svendsen (born 1980) is a retired Norwegian cross-country skier.
She made her World Cup debut in the 2003–04 season opener at Beitostølen, finishing 66th. She collected her first World Cup points with a 28th place in the February 2008 Falun 15 km pursuit, and also competed in World Cup relays. She improved to a 15th place at the Holmenkollen ski festival in March 2008. Her last World Cup outing was the 2010–11 Tour de Ski.
She represented the sports clubs Tromsø SK.
# Voivodeship road 835

Voivodeship road 835 (Polish: droga wojewódzka nr 835) in Poland is a voivodeship road linking Lublin with Biłgoraj, Przemyśl, and Sanok. It is one of the main highways in Lublin province. It is currently the longest provincial road in Poland, with a length of about 220 km (140 mi).
The road is included in the heavy traffic on sections of Lublin – Piotrków and Tarnawa Mała – Frampol has hardened shoulders. Almost the entire length, except for the initial segment in Lublin (Kunicki Street) has one lane in each direction.

## Cities and towns lying along the route

* Lublin
* Frampol
* Biłgoraj
* Tarnogród
* Sieniawa
* Przeworsk
* Kańczuga
* Dynow
* Grabownica Starzeńska
50°40′59″N 22°40′42″E﻿ / ﻿50.683080°N 22.678413°E﻿ / 50.683080; 22.678413
* This Polish road or road transport-related article is a stub. You can help Wikipedia by expanding it.
* v
* t
* e
# Church of San Andrés, Toledo

The Church of San Andrés (Spanish: Iglesia de San Andrés) is a Catholic church located in the city of Toledo, in Castile-La Mancha, Spain. The building is of medieval origin, and as is common in this city, is a mix of different styles. It is protected by the heritage listing Bien de Interés Cultural.

## Architecture

The architecture includes examples of Mudéjar, Gothic and Baroque styles, the last as a result of a remodeling of the 17th century. After the last restoration traceries appeared in the facade that evoke the eclecticism of the crossing. A Visigothic relief and two Visigothic pilasters was also discovered.
As with most of the Mudéjar churches in Toledo, it presents a simple aspect. Its main entrance, unique in Toledo, is in Almohad style bearing uncommon small green ceramic in columns on the door. The capitals are Visigothic. Its mosque past is being represented by a funeral pilaster.
During the 16th century its solid late Gothic head was added, with exterior buttresses that compensate for the considerable change in height, while its interior features a vault and palm arch ribs with honeycomb work in the transept naves.

## Mummies

In the crypt of this church are 60 mummies of infants, dukes, nuns and people of popular classes, in a good state of preservation and available for the public to view.
# Kieran Gill

Kieran Gill (born 4 December 1995) is a rugby league footballer who plays for the Bradford Bulls in Betfred Championship.

## Playing career
### Castleford Tigers

He spent the 2019 season on-loan from the Castleford Tigers at Newcastle. Gill has previously played on loan for Oxford, Oldham and the Newcastle Thunder.

### Bradford Bulls

On 22 September 2021, it was reported that he had signed for Bradford in the RFL Championship
# Sergio Llorente

Sergio Antonio Llorente Paz (born September 13, 1990) is a Spanish basketball player for Circus Brussels of the BNXT League. He plays in the point guard position.

## Career

Son of the former Real Madrid player José Luis Llorente, he started his career in 2010 at LEB Plata team Lobe Huesca, where he achieved the promotion to LEB Oro.
Despite this success, Llorente continued playing in LEB Plata until 2013, when he signed with Força Lleida.
Three years later, in summer 2016, Llorente signed a temporary contract with Dominion Bilbao Basket, for helping the team during the preseason but thanks to his great performances, he agreed a one-year contract with the Basque squad.
Llorente played for Oviedo between 2018 and 2020. During the 2019–20 season, he averaged 7.3 points, 2.5 rebounds and 5.2 assists per game. On September 14, 2020, Llorente signed with Club Melilla Baloncesto of the LEB Oro.
On January 25, 2021, he has signed with Spirou of the Pro Basketball League.
On December 26, 2021, after a monthlong trial, he joins Phoenix Brussels for the rest of the 2021-22 BNXT League season. In july 2022 Llorente renews his contract for an additional year in Brussels.

## Titles
### CEBA Guadalajara

* Copa LEB Plata: (1)
** 2013
# Kachu Pukur

Kachu Pukur is a census town in the Habibpur CD block in the Malda Sadar subdivision of Malda district in the Indian state of West Bengal.

## Geography
### Location

Kachu Pukur is located at 25°00′N 88°16′E﻿ / ﻿25.00°N 88.27°E﻿ / 25.00; 88.27.

### Area overview

The area shown in the adjacent map covers two physiographic regions – the Barind in the east and the tal in the west. The eastern part is comparatively high (up to 40 metres above mean sea level at places) and uneven. The soils of the eastern region are “hard salty clays of a reddish hue and the ground is baked hard as iron.” It lies to the east of the Mahananda River. The area lying to the west of the Mahananda River, the tal, is a flat low land and “is strewn with innumerable marshes, bils and oxbow lakes.” The tal area is prone to flooding by local rivers. The total area is overwhelmingly rural. There are two important historical/ archaeological sites in the area – Pandua and Jagjivanpur.
Note: The map alongside presents some of the notable locations in the area. All places marked in the map are linked in the larger full screen map.

## Demographics

According to the 2011 Census of India, Kachu Pukur had a total population of 5,752, of which 2,793 (52%) were males and 2,779 (48%) were females. Population in the age range 0–6 years was 518. The total number of literate persons in Kachu Pukur was 4,451 (85.04% of the population over 6 years).
As of 2001 India census, Kachu Pukur had a population of 5348. Males constitute 51% of the population and females 49%. Kachu Pukur has an average literacy rate of 71%, higher than the national average of 59.5%: male literacy is 77%, and female literacy is 64%. In Kachu Pukur, 12% of the population is under 6 years of age.

## Infrastructure

According to the District Census Handbook, Maldah, 2011, Kachu Pukur covered an area of 0.81 km$^2$. The protected water-supply involved overhead tank, tap water from treated sources, tube well/ bore well. It had 1,175 domestic electric connections, 280 road lighting points. Among the medical facilities it had 1 hospital (with 30 beds), 6 medicine shops. Among the educational facilities, it had 3 primary schools, 1 secondary school.
# Favour Royal

Favour Royal (previously known as Portclare) is a manor and estate in County Tyrone, Northern Ireland. It is located in the townland of Favor Royal Demesne, around 3 miles (4.8 km) east of Augher, close to the Irish border. It is within the parish of Errigal-Trough which is part of the historic barony of Clogher.

## History

Portclare was granted, in 1613, by James I to Sir Thomas Ridgeway, a prominent figure in the plantation of Ulster. Samuel Lewis recorded Ridgeway's grants as comprising 3,000 acres (12 km$^2$) of arable land and extending over the present towns of Aughnacloy and Augher, including the districts of Lismore and Garvey, with all the intermediate country. In 1622 Ridgeway sold Portclare to Sir James Erskine, younger son of Alexander Erskine of Gogar. In 1665, ownership of the manor of Portclare was confirmed to the Erskines by Charles II, under the name Favour Royal. The estate was subsequently divided between Sir James Erskine's two granddaughters. Favour Royal comprises one part, while the other, lying to the west of Augher, is known as Spur Royal or Augher Castle.
John Moutray married the Erskine heiress of Favour Royal, and the original house was built by them in 1670. In 1816 the Moutrays briefly employed a local boy, John Hughes, as an apprentice gardener - Hughes would go on to become the Catholic Archbishop of New York in 1842. The old house was destroyed in 1823 by an accidental fire, and was replaced with a larger structure by Captain John Corry Moutray of Castle Coole. Captain Moutray commissioned the architect John Hargrave to design the new building, which was completed in 1825 in a Tudor revival style. Captain Moutray also commissioned the building of a private chapel on the estate, consecrated on 3 July 1835, which is now the parish church of St Mary's, Portclare. Favour Royal continued to be the family home of the Moutrays until 1976, when the house, demesne and contents were sold. It was occupied until the 1990s but is now derelict.
The demesne comprised 740 acres (3.0 km$^2$) of fertile and highly cultivated land, and is finely diversified and richly wooded. The house is situated on the bank of the River Blackwater, and is built of freestone found on the estate. It is embellished with a noble portico, and with elegant architectural details. The demesne includes an ornamental lake and an 18th-century walled garden, and is listed on the Register of Parks, Gardens and Demesnes of Special Historic Interest. More recently it has been planted with coniferous forestry by the Forest Service Northern Ireland. Favour Royal Forest is one of Ireland's Millennium Forest sites. Several planning applications were submitted for permission to restore Favour Royal as a hotel and golf course, but these expired, and the house was on the market in 2013.
# Barndance Boys

The Barndance Boys was an English trio musical formation made as a country and folk dance act in 2003. Barndance Boys was the brainchild of John Matthews (stage name Ricardo Autobahn) from the Cuban Boys fame. He launched the novelty band with Darren Sampson known as Daz Sampson, with whom he had cooperated in many other musical projects including in the duo Rikki & Daz. Brian LH was also included to complete the trio.
Barndance Boys were infamous for their papier mache grossly exaggerated heads. The single "Yippie-i-oh" by the band spent two weeks on the UK Singles Chart. It topped at position 1 on the 37th and 38th weeks of the chart in 2003 featuring vocals from Jenny McLaren also from Cuban Boys fame . The tune of "Yippie-i-oh" is largely based on the traditional folk song "I'll Tell Me Ma" also known colloquially as "The Belle of Belfast City".
| Year | Song | UK Singles Chart | Irish Top 20 | Album |
| 2003 | "Yippie-i-oh" | No. 1 | | |
# António Livramento

António José Parreira do Livramento ComIH (28 February 1943 – 7 June 1999) was a Portuguese roller hockey player and coach. A forward, he is revered as one of the sport's greatest players, and by some as the greatest ever.

## Player career

Born in Évora, Livramento first started to play football, when he was invited to play roller hockey at Futebol Benfica in 1959, as he did. He represented Benfica, from 1959–60 to 1969–70, and after a year absent, from 1971–72 to 1973–74, Banco Pinto & Sotto Mayor, from 1974–75 to 1975–76, Sporting CP in 1976–77, Amatori Lodi, in Italy, in 1977–78, and another period for Sporting CP, from 1978–79 to 1980–81. He started to play at the youth category of Portugal in 1960, being considered the best player at the Youth Rink Hockey European Championship. He soon was called for the main team, winning the Rink Hockey European Championship, in 1961, and the Rink Hockey World Championship, the following year. During his long career, Livramento was capped 209 times, scoring 425 goals, from 1961 to 1977. The sad incident with a Spanish player at the 1977 Rink Hockey Championship final, led him to leave the national team. Livramento won 3 Rink Hockey World Championship, in 1962, 1968 and 1974, and 7 Rink Hockey European Championship, in 1961, 1963, 1965, 1967, 1973, 1975 and 1977.

## Coach career

After ending his playing career, Livramento started a coach career. He was the coach of Bassano Hockey 54, in Italy, from 1984–85 to 1985–86. He would be also the coach of Sporting CP and the Portugal national team, winning 3 World Championships, in 1982, 1991 and 1993, and 3 European Championships, in 1987, 1992 and 1994. He resigned after the unsuccessful presence at the 1995 World Championship.

## Death

Livramento died in Lisbon, Portugal, on 7 June 1999 from a stroke at the age of 56.

## Honours

Orders
* Commander of the Order of Prince Henry

### Club

Benfica
* Portuguese First Division: 1959-60, 1960-61, 1965-66, 1966-67, 1967-68, 1969-70, 1971-72, 1973-74
* Portuguese Cup: 1962-63
* Nations Cup: 1962
HC Monza
* Coppa Italia: 1970-71
Sporting CP
* Portuguese First Division: 1976-1977
* Portuguese Cup: 1976-77
* European Cup: 1976-77
Amatori Lodi
* Coppa Italia: 1977-78

### Country

Portugal
* Nations Cup: 1963, 1965, 1968, 1970, 1973
* World Championship – A: 1962, 1968, 1974
* European Championship: 1961, 1963, 1965, 1967, 1973, 1975, 1977

### Club

Sporting
* Portuguese First Division: 1981-82, 1987-88
* Portuguese Cup: 1983-84
* Portuguese Super Cup: 1983
* CERH Cup Winners' Cup: 1980-81
* CERS Cup: 1983-84
Porto
* Portuguese First Division: 1998-99
* Portuguese Cup: 1998-99
* Portuguese Super Cup: 1998

### Country

Portugal
* Nations Cup: 1984, 1987, 1994
* World Championship – A: 1982, 1993
* European Championship: 1987, 1992, 1994
* World Games: 1993
# Berg Publishers

Berg Publishers was an academic publishing company based in Oxford, Oxfordshire, England and Providence, Rhode Island, United States. It was founded in the United Kingdom in 1983 by Marion Berghahn. Berg published monographs, textbooks, reference works, and academic journals. It focused on fashion, design, anthropology, history, and cultural studies. Operations in providence began shortly after Berghahn's husband, historian Volker Berghahn, accepted a chair at Brown University in 1988.

## History

In 2003, Berg Publishers was bought from its owners by its managers Kathryn Earle and Sara Everett. The original owner, Marion Berghahn, was forced out in 1994 and immediately founded Berghahn Books, a leading academic publisher in the fields of anthropology and social sciences.
The Book Industry Communication (BIC), a trade standards group for electronic commerce and supply chain efficiency, awarded Berg its BIC Product Data Excellence Gold Award in 2007–2008 and its e4books project accredited Berg in 2008. Berg won the Independent Publishers Guild's 2008 Publishing Technology E-Publishing Award for its collection of profitable digital strategies in March 2008.
By March 2008, Berg had published thirteen journals. In September 2008, Bloomsbury Publishing bought Berg Publishers for £3,000,000 (US$3,569,535). Since 2013, all Berg titles have been published under the Bloomsbury name (under the imprint Bloomsbury Academic).