Topological Transformation Groups

Nonfiction, Science & Nature, Mathematics, Topology
Cover of the book Topological Transformation Groups by Deane Montgomery, Leo Zippin, Dover Publications
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Author: Deane Montgomery, Leo Zippin ISBN: 9780486831589
Publisher: Dover Publications Publication: June 13, 2018
Imprint: Dover Publications Language: English
Author: Deane Montgomery, Leo Zippin
ISBN: 9780486831589
Publisher: Dover Publications
Publication: June 13, 2018
Imprint: Dover Publications
Language: English

An advanced monograph on the subject of topological transformation groups, this volume summarizes important research conducted during a period of lively activity in this area of mathematics. The book is of particular note because it represents the culmination of research by authors Deane Montgomery and Leo Zippin, undertaken in collaboration with Andrew Gleason of Harvard University, that led to their solution of a well-known mathematical conjecture, Hilbert's Fifth Problem.
The treatment begins with an examination of topological spaces and groups and proceeds to locally compact groups and groups with no small subgroups. Subsequent chapters address approximation by Lie groups and transformation groups, concluding with an exploration of compact transformation groups.

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An advanced monograph on the subject of topological transformation groups, this volume summarizes important research conducted during a period of lively activity in this area of mathematics. The book is of particular note because it represents the culmination of research by authors Deane Montgomery and Leo Zippin, undertaken in collaboration with Andrew Gleason of Harvard University, that led to their solution of a well-known mathematical conjecture, Hilbert's Fifth Problem.
The treatment begins with an examination of topological spaces and groups and proceeds to locally compact groups and groups with no small subgroups. Subsequent chapters address approximation by Lie groups and transformation groups, concluding with an exploration of compact transformation groups.

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