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Catalogue Information
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Details
Dewey Class
512.482
Title
Hilbert's fifth problem and related topics (M) / Terence Tao
Author
Tao, Terence , 1975-
Publication
Providence, Rhode Island : American Mathematical Society , [2014]
Physical Details
xiii, 338 pages ; 27 cm.
Series
Graduate studies in mathematics
; 153
ISBN
9781470415648
Contents note
"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".
Links to Related Works
Subject References:
Characteristic functions
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Hilbert, David, 1862-1943
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Lie algebras
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Lie groups
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Authors:
Tao, Terence 1975-
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Series:
Graduate studies in mathematics
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Classification:
512.482
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512.482 (DDC 23)
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0000000042655
512.81 TAO
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