Hilbert's Fifth Problem and Related Topics
by Terence Tao
- New
- Hardcover
- Condition
- New
- ISBN 10
- 147041564X
- ISBN 13
- 9781470415648
- Seller
-
Southport, Merseyside, United Kingdom
5 Copies Available from This Seller
(You can add more at checkout.)
Payment Methods Accepted
About This Item
Hardback. 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.
Reviews
(Log in or Create an Account first!)
Details
- Bookseller
- The Saint Bookstore (GB)
- Bookseller's Inventory #
- A9781470415648
- Title
- Hilbert's Fifth Problem and Related Topics
- Author
- Terence Tao
- Format/Binding
- Hardback
- Book Condition
- New
- Quantity Available
- 5
- Binding
- Hardcover
- ISBN 10
- 147041564X
- ISBN 13
- 9781470415648
- Publisher
- Amer Mathematical Society
- This edition first published
- 2014
Terms of Sale
The Saint Bookstore
Refunds or Returns: A full refund of the price paid will be given if returned within 30 days in undamaged condition. If the product is faulty, we may send a replacement.
About the Seller
The Saint Bookstore
Biblio member since 2018
Southport, Merseyside
About The Saint Bookstore
The Saint Bookstore specialises in hard to find titles & also offers delivery worldwide for reasonable rates.
Glossary
Some terminology that may be used in this description includes:
- New
- A new book is a book previously not circulated to a buyer. Although a new book is typically free of any faults or defects, "new"...