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Field name	Details
Dewey Class	512/.482
Title	Hilbert's fifth problem and related topics / ([EBook] ) / Terence Tao.
Author	Tao, Terence , 1975-
Publication	Providence, Rhode Island : : American Mathematical Society, , [2014]
Physical Details	1 online resource (xiii, 338 pages)
Series	Graduate studies in mathematics ; 153
ISBN	9781470418564 (online)
Contents note	Chapter 1. Introduction: Chapter 2. Lie groups, Lie algebras, and the Baker-Campbell-Hausdorff formula: Chapter 3. Building Lie structure from representations and metrics: Chapter 4. Haar measure, the Peter-Weyl theorem, and compact or abelian groups: Chapter 5. Building metrics on groups, and the Gleason-Yamabe theorem: Chapter 6. The structure of locally compact groups: Chapter 7. Ultraproducts as a bridge between hard analysis and soft analysis: Chapter 8. Models of ultra approximate groups: Chapter 9. The microscopic structure of approximate groups: Chapter 10. Applications of the structural theory of approximate groups: Chapter 11. The Jordan-Schur theorem: Chapter 12. Nilpotent groups and nilprogressions: Chapter 13. Ado's theorem: Chapter 14. Associativity of the Baker-Campbell-Hausdorff-Dynkin law: Chapter 15. Local groups: Chapter 16. Central extensions of Lie groups, and cocycle averaging: Chapter 17. The Hilbert-Smith conjecture: Chapter 18. The Peter-Weyl theorem and nonabelian Fourier analysis: Chapter 19. Polynomial bounds via nonstandard analysis: Chapter 20. Loeb measure and the triangle removal lemma: Chapter 21. Two notes on Lie groups:
Mode of acces to digital resource	Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2014
Mode of acces to digital resource	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://www.ams.org/gsm/153
See Also	https://doi.org/10.1090/gsm/153
Links to Related Works	Subject References: Characteristic functions . Group theory and generalizations -- Special aspects of infinite or finite groups -- Geometric group theory . Hilbert, David . Lie algebras . Lie groups . Number theory -- Sequences and sets -- Arithmetic combinatorics; higher degree uniformity . Topological groups, Lie groups -- Lie groups -- General properties and structure of real Lie groups . Topological groups, Lie groups -- Lie groups -- Local Lie groups . Topological groups, Lie groups -- Locally compact groups and their algebras -- General properties and structure of locally compact groups . Authors: Tao, Terence 1975- . Series: Graduate studies in mathematics . Classification: 512/.482 .

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Hilbert's fifth problem and related topics /

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