Hilbert's fifth problem and related topics / Terence Tao
Type de document : MonographieCollection : Graduate studies in mathematics, 153Langue : anglais.Pays: Etats Unis.Éditeur : Providence : American Mathematical Society, 2014Description : 1 vol. (XIII-338 p.) ; 27 cmISBN: 9781470415648.ISSN: 1065-7339.Bibliographie : Bibliogr. p. 329-333. Index.Sujet MSC : 22D05, Locally compact groups and their algebras, General properties and structure22E05, Lie groups, Local Lie groups
22E15, Lie groups, General properties and structure of real Lie groups
22-02, Research exposition (monographs, survey articles) pertaining to topological groups
20F65, Special aspects of infinite or finite groups, Geometric group theoryEn-ligne : Zentralblatt
| Item type | Current library | Call number | Status | Date due | Barcode |
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Monographie
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CMI Salle 1 | 22 TAO (Browse shelf(Opens below)) | Available | 12366-01 |
Hilbert’s fifth problem asks about a topological description of Lie groups without any direct reference to smooth structures. This question can be formalized in a number of ways but one of a commonly accepted formulation asks whether any locally Euclidean topological group is necessarily a Lie group. This question was answered affirmatively by Gleason and by Montgomery and Zippin. The book focuses on three related topics: (a) Topological description of Lie groups and the classification of locally compact groups, (b) approximate groups in nonabelian groups and their classification via the Gleason-Yamabe theorem, and (c) Gromov’s theorem on finitely generated groups of polynomial growth and consequences to fundamental groups of Riemannian manifolds. ... (Zentralblatt)
Bibliogr. p. 329-333. Index
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