Articoli correlati a Hilbert's Fifth Problem and Related Topics
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One of the famous 23 mathematics problems Hilbert formulated in 1900, the problem asks for a topological description of Lie groups without any direct reference to smooth structure. In notes from a graduate course he taught in 2011 with some extra material from his blog, Tao develops the machinery needed to solve Hilbert's fifth problem, and then uses it to classify approximate groups and finally to develop applications such as Gromov's celebrated theorem. The first part of the book can be used in a one-quarter or one-semester advanced graduate course. It assumes familiarity with basic graduate real analysis and linear algebra. The second part contains additional material that may be but need not be used for the course. Annotation ©2014 Ringgold, Inc., Portland, OR (protoview.com)
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Hilbert's Fifth Problem and Related Topics
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American Mathematical Society, 2014
ISBN 10: 147041564X
ISBN 13: 9781470415648
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Hilbert's fifth problem and related topics. Graduate studies in mathematics; Volume 153.
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Providence, American Mathematical Society, 2014
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Hardcover. xiii, 338 p. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-04829 9781470415648 Sprache: Englisch Gewicht in Gramm: 1150. Codice articolo 2491069
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Hilbert's Fifth Problem and Related Topics
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MP-AMM American Mathematical, 2014
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Hilbert's Fifth Problem and Related Topics (eng)
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Hilbert\ s Fifth Problem and Related Topics
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American Mathematical Society, 2014
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ISBN 13: 9781470415648
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Gebunden. Condizione: New. KlappentextrnrnWinner of the 2015 Prose Award for Best Mathematics Book!In the fifth of his famous list of 23 problems, Hilbert asked if every topological group which was locally Euclidean was in fact a Lie group. Through the work of G. Codice articolo 614189136
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Hilbert's Fifth Problem and Related Topics
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Hilbert's Fifth Problem and Related Topics
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American Mathematical Society, US, 2014
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Hardback. Condizione: New. Winner of the 2015 Prose Award for Best Mathematics Book!In the fifth of his famous list of 23 problems, Hilbert asked if every topological group which was locally Euclidean was in fact a Lie group. Through the work of Gleason, Montgomery-Zippin, Yamabe, and others, this question was solved affirmatively; more generally, a satisfactory description of the (mesoscopic) structure of locally compact groups was established. Subsequently, this structure theory was used to prove Gromov's theorem on groups of polynomial growth, and more recently in the work of Hrushovski, Breuillard, Green, and the author on the structure of approximate groups.In this graduate text, all of this material is presented in a unified manner, starting with the analytic structural theory of real Lie groups and Lie algebras (emphasising the role of one-parameter groups and the Baker-Campbell-Hausdorff formula), then presenting a proof of the Gleason-Yamabe structure theorem for locally compact groups (emphasising the role of Gleason metrics), from which the solution to Hilbert's fifth problem follows as a corollary. After reviewing some model-theoretic preliminaries (most notably the theory of ultraproducts), the combinatorial applications of the Gleason-Yamabe theorem to approximate groups and groups of polynomial growth are then given. A large number of relevant exercises and other supplementary material are also provided. Codice articolo LU-9781470415648
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Hilbert's Fifth Problem and Related Topics
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American Mathematical Society, 2014
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ISBN 13: 9781470415648
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Condizione: New. pp. 338. Codice articolo 135005874
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Hilbert's Fifth Problem and Related Topics
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Buch. Condizione: Neu. Neuware - Winner of the 2015 Prose Award for Best Mathematics Book!In the fifth of his famous list of 23 problems, Hilbert asked if every topological group which was locally Euclidean was in fact a Lie group. Through the work of Gleason, Montgomery-Zippin, Yamabe, and others, this question was solved affirmatively. Subsequently, this structure theory was used to prove Gromov's theorem on groups of polynomial growth. In this graduate text, all of this material is presented in a unified manner. Codice articolo 9781470415648
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