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Paul Schweitzer
Paul Alexander Schweitzer SJ (born July 21, 1937) is an American mathematician specializing in differential topology, geometric topology, and algebraic topology. Schweitzer has done research on foliations, knot theory, and 3-manifolds. In 1974 he found a counterexample to the Seifert conjecture that every non-vanishing vector field on the 3-sphere has a closed integral curve. In 1995 he demonstrated that Sergei Novikov's compact leaf theorem cannot be generalized to manifolds with dimension greater than 3. Specifically, Schweitzer proved that a smooth, compact, connected manifold with Euler characteristic zero and dimension > 3 has a ''C''1 codimension-one foliation that has no compact leaf. Education and career Schweitzer studied at the College of the Holy Cross in Worcester, Massachusetts, with a B.S. in 1958 and then received his Ph.D. in 1962 at Princeton University under Norman Steenrod with thesis ''Secondary cohomology operations induced by the diagonal map ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Yonkers, New York
Yonkers () is a city in Westchester County, New York, United States. Developed along the Hudson River, it is the third most populous city in the state of New York, after New York City and Buffalo. The population of Yonkers was 211,569 as enumerated in the 2020 United States Census. It is classified as an inner suburb of New York City, located directly to the north of the Bronx and approximately two miles (3 km) north of Marble Hill, Manhattan, the northernmost point in Manhattan. Yonkers's downtown is centered on a plaza known as Getty Square, where the municipal government is located. The downtown area also houses significant local businesses and nonprofit organizations. It serves as a major retail hub for Yonkers and the northwest Bronx. The city is home to several attractions, including access to the Hudson River, Tibbetts Brook Park, with its public pool with slides and lazy river and two-mile walking loop Untermyer Park; Hudson River Museum; Saw Mill River daylig ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Seifert Conjecture
In mathematics, the Seifert conjecture states that every nonsingular, continuous vector field on the 3-sphere has a closed orbit. It is named after Herbert Seifert. In a 1950 paper, Seifert asked if such a vector field exists, but did not phrase non-existence as a conjecture. He also established the conjecture for perturbations of the Hopf fibration. The conjecture was disproven in 1974 by Paul Schweitzer, who exhibited a C^1 counterexample. Schweitzer's construction was then modified by Jenny Harrison in 1988 to make a C^ counterexample for some \delta > 0. The existence of smoother counterexamples remained an open question until 1993 when Krystyna Kuperberg constructed a very different C^\infty counterexample. Later this construction was shown to have real analytic and piecewise linear versions. References *V. Ginzburg and B. Gürel, A C^2-smooth counterexample to the Hamiltonian Seifert conjecture in R^4', Ann. of Math. (2) 158 (2003), no. 3, 953–976 * * * * *P. A. Sch ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Northwestern University
Northwestern University is a private research university in Evanston, Illinois. Founded in 1851, Northwestern is the oldest chartered university in Illinois and is ranked among the most prestigious academic institutions in the world. Chartered by the Illinois General Assembly in 1851, Northwestern was established to serve the former Northwest Territory. The university was initially affiliated with the Methodist Episcopal Church but later became non-sectarian. By 1900, the university was the third largest university in the United States. In 1896, Northwestern became a founding member of the Big Ten Conference, and joined the Association of American Universities as an early member in 1917. The university is composed of eleven undergraduate, graduate, and professional schools, which include the Kellogg School of Management, the Pritzker School of Law, the Feinberg School of Medicine, the Weinberg College of Arts and Sciences, the Bienen School of Music, the McCormick ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fairfield University , and doctoral degrees through its five schools and colleges: the Fairfield University College of Arts and Sciences, the Charles F. Dolan School of Business, the School of Engineering, the Marion Peckham Egan School of Nursing and Health Studies, and the Graduate School of Education and Allied Professions.
Fairfield University is a private Jesuit university in Fairfield, Connecticut. It was founded by the Jesuits in 1942. In 2017, the university had about 4,100 full-time undergraduate students and 1,100 graduate students, including full-time and part-time students. The school offers bachelor's degrees, master's degrees A master's degree (from Latin ) is an academic degree awarded by universities or colleges upon completion of a course of study demonstrating mastery or a high-order overview of a specific field of study or area of professional practice. History In 1941, James H. Dolan, S.J., Rev. James H. Dolan, S.J., Provi ...[...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Notre Dame
The University of Notre Dame du Lac, known simply as Notre Dame ( ) or ND, is a private Catholic research university in Notre Dame, Indiana, outside the city of South Bend. French priest Edward Sorin founded the school in 1842. The main campus covers 1,261 acres (510 ha) in a suburban setting and contains landmarks such as the Golden Dome, the ''Word of Life'' mural (commonly known as ''Touchdown Jesus''), Notre Dame Stadium, and the Basilica. Originally for men, although some women earned degrees in 1918, the university began formally accepting undergraduate female students in 1972. Notre Dame has been recognized as one of the top universities in the United States. The university is organized into seven schools and colleges. Notre Dame's graduate program includes more than 50 master, doctoral and professional degrees offered by the six schools, including the Notre Dame Law School and an MD–PhD program offered in combination with the Indiana University School of Medicine ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Society Of Jesus
, image = Ihs-logo.svg , image_size = 175px , caption = ChristogramOfficial seal of the Jesuits , abbreviation = SJ , nickname = Jesuits , formation = , founders = , founding_location = , type = Order of clerics regular of pontifical right (for men) , headquarters = Generalate:Borgo S. Spirito 4, 00195 Roma-Prati, Italy , coords = , region_served = Worldwide , num_members = 14,839 members (includes 10,721 priests) as of 2020 , leader_title = Motto , leader_name = la, Ad Majorem Dei GloriamEnglish: ''For the Greater Glory of God'' , leader_title2 = Superior General , leader_name2 = Fr. Arturo Sosa, SJ , leader_title3 = Patron saints , leader_name3 = , leader_title4 = Ministry , leader_name4 = Missionary, educational, literary works , main_organ = La Civiltà Cattoli ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cambridge, Massachusetts
Cambridge ( ) is a city in Middlesex County, Massachusetts, United States. As part of the Boston metropolitan area, the cities population of the 2020 U.S. census was 118,403, making it the fourth most populous city in the state, behind Boston, Worcester, and Springfield. It is one of two de jure county seats of Middlesex County, although the county's executive government was abolished in 1997. Situated directly north of Boston, across the Charles River, it was named in honor of the University of Cambridge in England, once also an important center of the Puritan theology embraced by the town's founders. Harvard University, the Massachusetts Institute of Technology (MIT), Lesley University, and Hult International Business School are in Cambridge, as was Radcliffe College before it merged with Harvard. Kendall Square in Cambridge has been called "the most innovative square mile on the planet" owing to the high concentration of successful startups that have emerged in the vicinity ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Weston Jesuit School Of Theology
The Boston College School of Theology and Ministry (STM) is a Jesuit school of graduate theology at Boston College. It is an ecclesiastical faculty of theology that trains men and women, both lay and religious, for scholarship and service, especially within the Catholic Church. Boston College's School of Theology and Ministry and Theology Department ranked 10th among universities worldwide in Theology, Divinity, and Religious studies in the 2020 QS World University Rankings. It was one of two Catholic institutions, along with the University of Notre Dame, in the top 10. History The School of Theology and Ministry was founded in the merger of Weston Jesuit School of Theology and Boston College Institute for Religious Education and Pastoral Ministry on June 1, 2008. Weston College opened in 1922 as a center of philosophy for the New England Province of the Jesuits in Weston, Massachusetts. Weston College expanded in 1927 to prepare men for ordination, and later to include religi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Weston, Massachusetts
Weston is a town in Middlesex County, Massachusetts, Middlesex County, Massachusetts, about 15 miles west of Boston. At the time of the 2020 United States Census, the population of Weston was 11,851. Weston was incorporated in 1713, and protection of the town's historic resources is driven by the Weston Historical Commission and Weston Historical Society. The town has one Local Historic District, 10 National Register Districts, 26 Historic Areas, and seven houses individually listed on the National Register of Historic Places. Weston's predominance as a residential community is reflected in its population density, which is among the lowest of Boston's suburbs near or within Massachusetts Route 128, Route 128. More than 2,000 acres, or 18 percent of the town's total acreage, have been preserved as parks, fields, wetlands, and forests, with 90 miles of trails for hiking, horseback riding, and cross-country skiing. Thirty-seven scenic roads, as defined by Massachusetts law, maintain ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Topology (journal)
''Topology'' was a peer-reviewed mathematical journal covering topology and geometry. It was established in 1962 and was published by Elsevier. The last issue of ''Topology'' appeared in 2009. Pricing dispute On 10 August 2006, after months of unsuccessful negotiations with Elsevier about the price policy of library subscriptions, the entire editorial board of the journal handed in their resignation, effective 31 December 2006. Subsequently, two more issues appeared in 2007 with papers that had been accepted before the resignation of the editors. In early January the former editors instructed Elsevier to remove their names from the website of the journal, but Elsevier refused to comply, justifying their decision by saying that the editorial board should remain on the journal until all of the papers accepted during its tenure had been published. In 2007 the former editors of ''Topology'' announced the launch of the ''Journal of Topology'', published by Oxford University Press ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Worcester, Massachusetts
Worcester ( , ) is a city and county seat of Worcester County, Massachusetts, United States. Named after Worcester, England, the city's population was 206,518 at the 2020 United States census, 2020 census, making it the second-List of cities in New England by population, most populous city in New England after Boston. Worcester is approximately west of Boston, east of Springfield, Massachusetts, Springfield and north-northwest of Providence, Rhode Island, Providence. Due to its location near the geographic center of Massachusetts, Worcester is known as the "Heart of the Commonwealth"; a heart is the official symbol of the city. Worcester developed as an industrial city in the 19th century due to the Blackstone Canal and rail transport, producing machinery, textiles and wire. Large numbers of European immigrants made up the city's growing population. However, the city's manufacturing base waned following World War II. Long-term economic and population decline was not reversed ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Commentarii Mathematici Helvetici
The ''Commentarii Mathematici Helvetici'' is a quarterly peer-reviewed scientific journal in mathematics. The Swiss Mathematical Society started the journal in 1929 after a meeting in May of the previous year. The Swiss Mathematical Society still owns and operates the journal; the publishing is currently handled on its behalf by the European Mathematical Society. The scope of the journal includes research articles in all aspects in mathematics. The editors-in-chief have been Rudolf Fueter (1929–1949), J.J. Burckhardt (1950–1981), P. Gabriel (1982–1989), H. Kraft (1990–2005), and Eva Bayer-Fluckiger (2006–present). Abstracting and indexing The journal is abstracted and indexed in: According to the ''Journal Citation Reports'', the journal has a 2019 impact factor The impact factor (IF) or journal impact factor (JIF) of an academic journal is a scientometric index calculated by Clarivate that reflects the yearly mean number of citations of articles published ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
