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Published **1955**
by Interscience in New York, London .

Written in English

- Topological transformation groups.

**Edition Notes**

Statement | Deane Montgomery, Leo Zippin. |

Series | Interscience tracts in pure and applied mathematics -- no.1 |

Contributions | Zippin, Leo. |

The Physical Object | |
---|---|

Pagination | xi,282p. ; |

Number of Pages | 282 |

ID Numbers | |

Open Library | OL18088568M |

INTRODUCTION TO COMPACT TRANSFORMATION GROUPS GLEN E. BREDON Department of Mathematics Chapter 0 Background on Topological Groups and Lie Groups 1. Elementary Properties of Topological Although we are almost entirely concerned with actions of compact Lie groups in this book, there is really very little about Lie groups which the File Size: 6MB. Get this from a library! Topological transformation groups. [Deane Montgomery; Leo Zippin] -- 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. I am looking for a good book on Topological Groups. I have read Pontryagin myself, and I looked some other in the library but they all seem to go in length into some esoteric topics. I would love something pages or so long, with good exercises, accessible to a 1st PhD student with background in Algebra, i.e. with an introduction covering. 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.

Book Summary: The title of this book is Topological Transformation Groups (Dover Books on Mathematics) and it was written by Deane Montgomery, Leo particular edition is in a Paperback format. This books publish date is and it has a suggested retail price of $Pages: Topological Transformation Groups by Deane Montgomery, , available at Book Depository with free delivery : Deane Montgomery. There is a classical Lev Pontrjagin’s book “Continuous groups” or “Topological groups” (original is in Russian, but there exists an English translation too). Also I often encountered references to “Abstract Harmonic Analysis” by and it this context, but I never saw this book. ical groups on topological spaces; the existence of invariant metrics is discussed in. §4 (Bourbaki [1], Palais [1]). 0 LetG ba a topological group, acting continuously on a topological space X. We shall always suppose that the action is on the left, and if m: G × X → X deﬁnes the action, we shall write, for s ∈ G and x ∈ X,m(s,x) = sx.

Read "Topological Transformation Groups" by Deane Montgomery available from Rakuten Kobo. An advanced monograph on the subject of topological transformation groups, this volume summarizes important research con Brand: Dover Publications. Topological transformation groups. Deane Montgomery, Leo Zippin. Interscience Publishers, - Geometry, Algebraic - pages. 0 Reviews. From inside the book. What people are saying - Write a review. We haven't found any reviews in the usual places. Algebraic Group theory Topological groups Topology Transformation groups. Historically, applications of algebraic topology to the study of topological transformation groups were originated in the work of L. E. 1. Brouwer on periodic transformations and, a little later, in the beautiful fixed point theorem ofP. A. Smith for prime periodic maps on homology spheres. Upon. Lie groups are the best-understood topological groups; many questions about Lie groups can be converted to purely algebraic questions about Lie algebras and then solved. An example of a topological group that is not a Lie group is the additive group Q of rational .

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