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Topic: Charles Ehresmann

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	Ehresmann
		Charles, however, was from that time on taught in French.
		Ehresmann followed the moves of the university then, in 1955, a chair of topology was specially created for him in the University of Paris.
		Although he was 70 years old when he retired, Ehresmann did not give up lecturing for at this time he moved to Amiens, where his second wife was a professor of mathematics, and he taught there.
	www.educ.fc.ul.pt /icm/icm2003/icm14/Ehresmann.htm (661 words)

	This takes back the text of a talk given by Andrée C
		Charles was also eager to learn new things and I had no difficulty in convincing him of the beauty of the geometry of topological linear spaces and of infinite-dimensional polyhedrons on which I was preparing a thesis under the direction of G. Choquet.
		As Charles came to categories from groupoids and to groupoids from groups, he 'felt' a category as a (small) set, equipped with a partially defined composition, rather than as a (big) class of sets Hom(E,E') (which is more usual when categories of structures are first considered).
		Indeed, Charles thought that the future is more important than the past, and he often said to me that it comforted him to think his work would be pursued after his death, thanks to the 30 years of age between us.
	www.cs.le.ac.uk /people/ah83/cat-myths/myth0002.html (4088 words)

	Geometric structures: History and Development
		Using the theory of Lie groups as the basis for the infinitesimal geometry (like the quadratic functions defined infinitesimally on Riemannian and Lorentzian manifolds), geometric structures could be defined using extremely general local symmetries.
		Ehresmann's "locally homogeneous geometric structures" could be considered like an atlas of local maps of a loosely organized collection of points.
		The qualitative organization of a continuous aggregate of points is what is called a "topological space" and one might want to impart a geometric structure to a topological space modelled on a classical geometry, such as projective geometry.
	www.math.umd.edu /~caj/EaGLe/history.html (673 words)

	Ehresmann biography
		In 1924 Ehresmann entered the École Normale Supérieure in Paris.
		His work in the creation and development of fibre spaces followed on from the study of a special case made earlier by Seifert and Whitney.
		These appeared in seven volumes: Charles Ehresmann: Oeuvres complètes et commentées as supplements to the Journal Cahiers de Topologie et Géometrie Différentielle Categoriques which Charles Ehresmann created in 1957.
	www-history.mcs.st-andrews.ac.uk /Biographies/Ehresmann.html (726 words)

	Charles Ehresmann - Wikipédia (via CobWeb/3.1 planetlab2.cs.unc.edu) (Site not responding. Last check: 2007-11-03)
		Charles Ehresmann est un mathématicien alsacien, né à Strasbourg le 19 avril 1905 et mort à Amiens le 22 septembre 1979.
		Charles Ehresmann a aussi fait partie du groupe Bourbaki.
		Charles Ehresmann a ensuite été chargé de recherches au Centre national de la recherche scientifique de 1934 à 1939.
	fr.wikipedia.org.cob-web.org:8888 /wiki/Charles_Ehresmann (367 words)

	[No title]
		Ehresmann developed new concepts and new language which have been very influ* ential in mathe- matics: I mention only fibre bundles, foliations, holonomy groupoid, germs, jet *s, Lie groupoids.
		The claim is that a candidate for this lies in the constr* uctions of Ehresmann* and Pradines for the holonomy groupoid.
		Ehresmann had earlier shown in [23] that a 2-category gave rise to a double * *category of quintettes.
	www.math.purdue.edu /research/atopology/BrownR/bedlewo.txt (5438 words)

	Memory Evolutive Systems (Site not responding. Last check: 2007-11-03)
		For that, we must adapt and generalize several fine results, in particular theorems of the theory of sketches, developed by C. Ehresmann, A. Ehresmann and their research students in the seventies [5], and now largely used in Computer Science.
		Our basic idea is that category theory is a reflection on the fundamental laws of brain functioning such as they have been determined by natural selection during Evolution: formation of relations between objects of various types allowing for the transfer and the analysis of information, formation and recognition of patterns of coordinated objects, optimization processes.
		Appendix) and the complexification corresponds to the prototype associated to this sketch (as it is constructed by A. and C. Ehresmann in [5]).
	cogprints.org /921/00/auef.htm (8557 words)

	Discover the Wisdom of Mankind on HACKED BY TURK-SOPHİA
		Charles Edward Louis John Casimir Silvester Severino Maria Stuart (en)
		Charles Edward Peter Neil Wood, 3rd Earl of Halifax (en)
		Charles Emmanuel de Savoie, 3rd Duc de Nemours (en)
	www.blinkbits.com /wikifeeds/CH?from=8400 (212 words)

	Title: Creation and 40 years development of a journal
		In the early fifties, Charles Ehresmann had organized a Topology Seminar in Strasbourg, the proceedings of which were published in 3 volumes, under the title:
		But Charles did not like strict rules, and he had some clashes with the very dedicated and meticulous Editor, Paul Belgodère, because he wanted to include a larger choice of papers; in particular he insisted to print the complete text of my "3
		Up to his death in 1979, Charles was the Director of the "Cahiers", and I acted as the Editor.
	www.cs.le.ac.uk /people/ah83/cat-myths/myth0003.html (703 words)

	[No title]
		In one of Ehresmann's (and Bastiani's, I believe) there is mentioned the possibility of its being what they called a quasicategory (or some such substructure term) in which composition is a partly defined multi-ary operation (in other words, fgh could be defined without fg or gh being defined).
		Charles and I realized that this was equivalent to what we called a graph with diagrams, which seemed a more useable notion.
		Ehresmann and his students use it for a structure which is a weakening of the concept of category (the composite may not be defined for all composable pairs) plus specified cones and/or cocones.
	www.mta.ca /~cat-dist/archive/2001/01-12 (14115 words)

	Topology News - 3 Apr 2005
		28, #2 (2004) ########## 7th Conference on Geometry and Topology of Manifolds The Mathematical Legacy of Charles Ehresmann Bedlewo 8.05.2005-15.05.2005 (Poland) Under the auspices of Prof.
		We are pleased to inform you that during our conference we will celebrate the 100th anniversary of Charles Ehresmann's birthday.
		We plan to organize special sessions dedicated to Charles Ehresmann's life and work and the influence of his ideas on the modern mathematics on Monday.
	at.yorku.ca /i/a/a/l/06.htm (1279 words)

	22 Sep History: This Date (Site not responding. Last check: 2007-11-03)
		He mentioned the New Yorker Walter Hunt, who is believed to have devised the first US stitch-lock sewing machine in 1832, but failed to patent it, so that credit went to Elias Howe, A. Wilson and Isaac Singer, who came later.
		1979 Charles Ehresmann, Alsatian mathematician born on 19 April 1905.
		Charles spotted a gasoline engine at the 1886 Ohio State Fair and became convinced that an engine-driven carriage could be built.
	www.jcanu.hpg.ig.com.br /history/h4sep/h4sep22.html (6826 words)

	Ronald Brown's Preprint Archive
		Expansion of an invited talk given to the 7th Conference on the Geometry and Topology of Manifolds: The Mathematical Legacy of Charles Ehresmann, Bedlewo 8.05.2005-15.05.2005 (Poland).
		Proceedings of the 7th Conference on the Geometry and Topology of Manifolds: The Mathematical Legacy of Charles Ehresmann,
		This involves replacing the Ehresmann notion of a local smooth coadmissible section of a groupoid by a local smooth coadmissible homotopy (or free derivation) for the crossed module case.
	www.bangor.ac.uk /~mas010/brownpr.html (4676 words)

	19 April History: This Date
		Among the victims of America's worst incident of domestic terrorism were 19 children who were in the daycare center on the first floor of the building.
		On 27 December 1831, British naturalist Charles Darwin had set out from Plymouth, England, aboard the HMS Beagle, on a five-year surveying expedition of the southern Atlantic and Pacific oceans.
		Ada proved to be a mathematical prodigy and is considered by some to be the first computer programmer, thanks to her work on Charles Babbage's computing machine.
	www.safran-arts.com /42day/history/h4apr/h4apr19.html (12291 words)

	Nicolas Bourbaki Summary
		There was, however, an important Bourbaki in French history, General Charles Denis Sauter Bourbaki, a French military officer of Greek descent who experienced a decisive defeat in the Franco-Prussian war of 1870.
		Godement's wife wanted to see Dieudonné announcing his resignation, and so on one occasion while she was there Schwartz deliberately brought up again the question of permuting the order in which measure theory and topological vector spaces were to be handled, to precipitate a guaranteed crisis.
		The name "Bourbaki" refers to a French general Charles Denis Sauter Bourbaki who was defeated in the Franco-Prussian War; it was adopted by the group as a reference to a student anecdote about a hoax mathematical lecture, and also possibly to a statue.
	www.bookrags.com /Nicolas_Bourbaki (3608 words)

	Seminars and actvities: Ronald Brown
		Colloquium talk on `The intuitions for nonabelian algebraic topology' to the Department of Mathematics, University of Munich, May 6.
		Plenary talk to 7th Conference on Geometry and Topology of Manifolds, The Mathematical Legacy of Charles Ehresmann, Bedlewo 8.05.2005-15.05.2005 (Poland),`Groupoids, local-to-global, higher dimensions: three themes in the work of Charles Ehresmann'.
		Talk on `Global actions and groupoid atlases' to the conference `Charles Ehresmann: 100 ans' Amiens, October 7-9.
	www.bangor.ac.uk /~mas010/SeminarsBrown.htm (1217 words)

	[No title]
		"The Mathematical Legacy of Charles Ehresmann" Session III
		Pradines, "In Ehresmann's footsteps: From Group Geometries to Groupoid Geometries"
		Zhukova, "Ehresmann connections and holonomy groups for singular foliations"
	im0.p.lodz.pl /konferencje/bedlewo2005/program.htm (352 words)

	[No title]
		Mark Hovey New papers appearing on hopf between 2/8/06 and 3/1/06 1.
		Author: Ronald Brown AMS classification number: 01A60,53C29,81Q70,22A22,55P15 Expansion of an invited talk given to the 7th Conference on the Geometry and Topology of Manifolds: The Mathematical Legacy of Charles Ehresmann, Bedlewo 8.05.2005-15.05.2005 (Poland).
		Abstract: This paper illustrates the themes of the title in terms of: van Kampen type theorems for the fundamental groupoid; holonomy and monodromy groupoids; and higher homotopy groupoids.
	www.lehigh.edu /~dmd1/h0306 (646 words)

	CAHIERS DE TOPOLOGIE ET GEOMETRIE DIFFERENTIELLE CATEGORIQUES
		An Index of all the papers published in the "Cahiers" since their creation, as well as English abstracts of the papers published since 1999 can be found at the URL:
		All backsets of the "Cahiers" are still available, as well as the Supplements, published from 1980 to 1984, devoted to the collected works of the mathematician Charles Ehresmann (1905-1979), who created the "Cahiers" in 1958.
		They contain all the articles of C. Ehresmann, with long comments (in English) updating these papers.
	www.tac.mta.ca /tac/cahiers (1318 words)

	Topology Perdu
		Santa Monica, CA For instance, the notion of structure as modelled by sets in the early theory of Bourbaki is insufficient as it still pressuposes an ontology without ever clarifying the functional status of its object.
		Yet the latter Bourbaki rectifies this misreading, beginning with the use of echelons (or species) in its last chapters with Charles Ehresmann, then with the theory of faisceaux and esquisses, a concept of structure is de-ontologized from sets resulting in the birth of the notion of a category.
		In the United States this revolution of method began with Sanders Maclane, Eilenberg, and Lawvere.
	www.topoi.net /place6/topologyperdu.html (3233 words)

	Research (Site not responding. Last check: 2007-11-03)
		Research, aimed to develop some ideas of Charles Ehresmann.
		Ph.D. in Mathematics in 1985, for papers on Ehresmann's Category Theory
		Associate Professor in 1997 for papers on Algebra.
	www.dekovsoft.com /ddekov/research.htm (47 words)

	week174
		But there is another reference at about the same time; indeed, the "walking adjunction" has been explicitly constructed and studied in the paper of Auderset:
		More formally it could also be called "the 2-sketch of an adjunction" in the terminology in my paper with Charles Ehresmann:
		The Pumplun paper cited by Wyler as well as the Auderset paper cited by Mme Ehresmann illustrate that the study of generic structures in 2-categories has been going on for some time.
	math.ucr.edu /home/baez/week174.html (4016 words)

	Algebra of Principal Fibre Bundles, and Connections. (ResearchIndex)
		We prove in particular an "infinitesimal form" of the Gauss-Bonnet Theorem, Corollary 1 below.
		--- The initiator of these efforts was Charles Ehresmann, who put the notion of (Update)
		0.2: Graphs, Ehresmann Connections And Vanishing Cycles - Wolak (1996)
	citeseer.ist.psu.edu /kock99algebra.html (356 words)

	8th Grade
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	mslombardo.freehosting.net /catalog.html (4626 words)

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	www.math.ucla.edu /~aoleg/wp/mathlists/output.txt (2953 words)

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