Topological Transformation Groups (Paperback)

Deane Montgomery

ISBN 10: 0486824497 / ISBN 13: 9780486824499

Published by Dover Publications Inc., New York, 2018

About this Item

Paperback. 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 the authors' research, in collaboration with Andrew Gleeson of Harvard University, which led to their solution of a well-known mathematical conjecture, Hilbert's Fifth Problem. AUTHORS: Deane Montgomery (190992) received his Ph.D. from the University of Iowa, taught at Smith College from 193546, and was at the Institute for Advanced Study in Princeton from 1947 until his retirement in 1980. He was President of the American Mathematical Society in 196162. Leo Zippin (190595) received his Ph.D. from the University of Pennsylvania. He taught at Queens College in New York from 1938 until his retirement in 1971. Advanced monograph summarizes important research conducted during a vital period in this area of mathematics. Subjects include topological spaces and groups, locally compact groups, approximation by Lie groups, more. 1978 edition. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

Seller Inventory # 9780486824499

Bibliographic Details

• Title: Topological Transformation Groups (Paperback)
• Publisher: Dover Publications Inc., New York
• Publication Date: 2018
• Language: English
• ISBN 10: 0486824497
• ISBN 13: 9780486824499
• Binding: Paperback
• Condition: new

About this title

Synopsis

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.

About the Author

Deane Montgomery (1909–92) received his Ph.D. from the University of Iowa, taught at Smith College from 1935–46, and was at the Institute for Advanced Study in Princeton from 1947 until his retirement in 1980. He was President of the American Mathematical Society in 1961–62.
Leo Zippin (1905–95) received his Ph.D. from the University of Pennsylvania.  He taught at Queens College in New York from 1938 until his retirement in 1971.