Mary Ellen Rudin
Mary Ellen Rudin (December 7, 1924 – March 18, 2013) was an American mathematician known for her work in set-theoretic topology. In 2013, Elsevier established the Mary Ellen Rudin Young Researcher Award, which is awarded annually to a young researcher, mainly in fields adjacent to general topology. Early life and education Mary Ellen (Estill) Rudin was born in Hillsboro, Texas to Joe Jefferson Estill and Irene (Shook) Estill. Her mother Irene was an English teacher before marriage, and her father Joe was a civil engineer. The family moved with her father's work, but spent a great deal of Mary Ellen's childhood around Leakey, Texas.Albers, D.J. and Reid, C. (1988) "An Interview with Mary Ellen Rudin". ''The College of Mathematics Journal'' 19(2) pp.114-137 She had one sibling, a younger brother. Both of Rudin's maternal grandmothers had attended Mary Sharp College near their hometown of Winchester, Tennessee. Rudin remarks on this legacy and how much her family valued educ ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Mary Sharp College
Mary Sharp College (1851–1896), first known as the Tennessee and Alabama Female Institute, was a women's college, located in Winchester, Tennessee. It was named after the abolitionist Mary Sharp. History The college was first chartered in 1850 and was directed by Dr. Zuinglius Calvin Graves and the Baptist Church. It "was the first women's college in the United States to offer degrees equivalent to those offered at men's colleges." Mary Sharp College Tennessee Encyclopedia of History and Culture Graves offered a radical curriculum. He patterned the classical curriculum at Mary Sharp College after those offered at , [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Dowker Space
In the mathematics, mathematical field of general topology, a Dowker space is a topological space that is normal space, T4 but not paracompact space, countably paracompact. They are named after Clifford Hugh Dowker. The non-trivial task of providing an example of a Dowker space (and therefore also proving their existence as mathematical objects) helped mathematicians better understand the nature and variety of topological spaces. Equivalences Dowker showed, in 1951, the following: If ''X'' is a normal T1 space, T1 space (that is, a T4 space, T4 space), then the following are equivalent: * ''X'' is a Dowker space * The product of ''X'' with the unit interval is not normal. * ''X'' is not Metacompact space, countably metacompact. Dowker conjectured that there were no Dowker spaces, and the conjecture was not resolved until Mary Ellen Rudin constructed one in 1971. Rudin's counterexample is a very large space (of cardinality \aleph_\omega^). Zoltán Tibor Balogh, Zoltán Balogh gave ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Bulletin Of The American Mathematical Society
The ''Bulletin of the American Mathematical Society'' is a quarterly mathematical journal published by the American Mathematical Society. Scope It publishes surveys on contemporary research topics, written at a level accessible to non-experts. It also publishes, by invitation only, book reviews and short ''Mathematical Perspectives'' articles. History It began as the ''Bulletin of the New York Mathematical Society'' and underwent a name change when the society became national. The Bulletin's function has changed over the years; its original function was to serve as a research journal for its members. Indexing The Bulletin is indexed in Mathematical Reviews, Science Citation Index, ISI Alerting Services, CompuMath Citation Index, and Current Contents/Physical, Chemical & Earth Sciences. See also *'' Journal of the American Mathematical Society'' *'' Memoirs of the American Mathematical Society'' *'' Notices of the American Mathematical Society'' *'' Proceedings of the Ame ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Tetrahedron
In geometry, a tetrahedron (: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular Face (geometry), faces, six straight Edge (geometry), edges, and four vertex (geometry), vertices. The tetrahedron is the simplest of all the ordinary convex polytope, convex polyhedra. The tetrahedron is the three-dimensional case of the more general concept of a Euclidean geometry, Euclidean simplex, and may thus also be called a 3-simplex. The tetrahedron is one kind of pyramid (geometry), pyramid, which is a polyhedron with a flat polygon base and triangular faces connecting the base to a common point. In the case of a tetrahedron, the base is a triangle (any of the four faces can be considered the base), so a tetrahedron is also known as a "triangular pyramid". Like all convex polyhedra, a tetrahedron can be folded from a single sheet of paper. It has two such net (polyhedron), nets. For any tetrahedron there exists a sphere (called th ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Triangulation (geometry)
In geometry, a triangulation is a subdivision of a plane (geometry), planar object into triangles, and by extension the subdivision of a higher-dimension geometric object into simplex, simplices. Triangulations of a three-dimensional volume would involve subdividing it into tetrahedra packed together. In most instances, the triangles of a triangulation are required to meet edge-to-edge and vertex-to-vertex. Types Different types of triangulations may be defined, depending both on what geometric object is to be subdivided and on how the subdivision is determined. * A triangulation T of \mathbb^d is a subdivision of \mathbb^d into d-dimensional simplices such that any two simplices in T intersect in a common face (a simplex of any lower dimension) or not at all, and any bounded set in \mathbb^d intersects only finite set, finitely many simplices in T. That is, it is a locally finite simplicial complex that covers the entire space. * A point-set triangulation, i.e., a triangulation ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Shelling (topology)
In mathematics, a shelling of a simplicial complex is a way of gluing it together from its maximal simplices (simplices that are not a face of another simplex) in a well-behaved way. A complex admitting a shelling is called shellable. Definition A ''d''-dimensional simplicial complex is called pure if its maximal simplices all have dimension ''d''. Let \Delta be a finite or countably infinite simplicial complex. An ordering C_1,C_2,\ldots of the maximal simplices of \Delta is a shelling if, for all k=2,3,\ldots, the complex :B_k:=\Big(\bigcup_^C_i\Big)\cap C_k is pure and of dimension one smaller than \dim C_k. That is, the "new" simplex C_k meets the previous simplices along some union B_k of top-dimensional simplices of the boundary of C_k. If B_k is the entire boundary of C_k then C_k is called spanning. For \Delta not necessarily countable, one can define a shelling as a well-ordering of the maximal simplices of \Delta having analogous properties. Properties * A shellable c ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Hungarian Academy Of Sciences
The Hungarian Academy of Sciences ( , MTA) is Hungary’s foremost and most prestigious learned society. Its headquarters are located along the banks of the Danube in Budapest, between Széchenyi rakpart and Akadémia utca. The Academy's primary functions include the advancement of scientific knowledge, the dissemination of research findings, the support of research and development, and the representation of science in Hungary both domestically and around the world. History The origins of the Hungarian Academy of Sciences date back to 1825, when Count István Széchenyi offered one year's income from his estate to establish a ''Learned Society''. He made this offer during a session of the Diet in Pressburg (Pozsony, now Bratislava), then the seat of the Hungarian Parliament. Inspired by his gesture, other delegates soon followed suit. The Society’s mission was defined as the development of the Hungarian language and the promotion of sciences and the arts in the Hungarian l ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Noether Lecturer
The Noether Lecture is a distinguished lecture series that honors women "who have made fundamental and sustained contributions to the mathematical sciences". The Association for Women in Mathematics (AWM) established the annual lectures in 1980 as the Emmy Noether Lectures, in honor of one of the leading mathematicians of her time. In 2013 it was renamed the AWM-AMS Noether Lecture and since 2015 is sponsored jointly with the American Mathematical Society (AMS). The recipient delivers the lecture at the yearly American Joint Mathematics Meetings held in January. The ICM Emmy Noether Lecture is an additional lecture series, sponsored by the International Mathematical Union. Beginning in 1994 this lecture was delivered at the International Congress of Mathematicians, held every four years. In 2010 the lecture series was made permanent. The 2021 Noether Lecture was supposed to have been given by Andrea Bertozzi of UCLA, but it was cancelled. The cancellation was made during the Georg ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs. The society is one of the four parts of the Joint Policy Board for Mathematics and a member of the Conference Board of the Mathematical Sciences. History The AMS was founded in 1888 as the New York Mathematical Society, the brainchild of Thomas Fiske, who was impressed by the London Mathematical Society on a visit to England. John Howard Van Amringe became the first president while Fiske became secretary. The society soon decided to publish a journal, but ran into some resistance over concerns about competing with the '' American Journal of Mathematics''. The result was the ''Bulletin of the American Mathematical Society'', with Fiske as editor-in-chief. The de facto journal, as intended, was influentia ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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International Congress Of Mathematicians
The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the IMU Abacus Medal (known before 2022 as the Nevanlinna Prize), the Carl Friedrich Gauss Prize, Gauss Prize, and the Chern Medal are awarded during the congress's opening ceremony. Each congress is memorialized by a printed set of Proceedings recording academic papers based on invited talks intended to be relevant to current topics of general interest. Being List of International Congresses of Mathematicians Plenary and Invited Speakers, invited to talk at the ICM has been called "the equivalent ... of an induction to a hall of fame". History German mathematicians Felix Klein and Georg Cantor are credited with putting forward the idea of an international congress of mathematicians in the 1890s.A. John Coleman"Mathematics without borders": a book review. ''CMS Notes'' ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Phi Beta Kappa
The Phi Beta Kappa Society () is the oldest academic honor society in the United States. It was founded in 1776 at the College of William & Mary in Virginia. Phi Beta Kappa aims to promote and advocate excellence in the liberal arts and sciences, and to induct outstanding students of arts and sciences at select American colleges and universities. Since its inception, its inducted members include 17 President of the United States, United States presidents, 42 Supreme Court of the United States, United States Supreme Court justices, and 136 Nobel Prize, Nobel laureates. History Origins The Phi Beta Kappa Society had its first meeting on December 5, 1776, at the College of William & Mary in Williamsburg, Virginia by five students, with John Heath as its first President. The society established the precedent for naming American college societies after the initial letters of a secret Greek motto. The group consisted of students who frequented the Raleigh Tavern as a common meeting ar ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |