Fixed Point Theory of Parametrized Equivariant Maps
The first part of this research monograph discusses general properties of G-ENRBs - Euclidean Neighbourhood Retracts over B with action of a compact Lie group G - and their relations with fibrations, continuous submersions, and fibre bundles. It thus addr
- PDF / 11,433,393 Bytes
- 150 Pages / 468 x 684 pts Page_size
- 54 Downloads / 249 Views
1343
Hanna Ulrich
Fixed Point Theory of Parametrized Equivariant Maps
Springer-Verlag Berlin Heidelberg New York London Paris Tokyo
Author
Hanno Ulrich IBM Research and Development Schonaicher StraBe 220, 7030 Boblinqen, FRG
Mathematics Subject Classification (1980): 55-02; 19L47, 54C55, 54050, 54F45, 55M20, 55N91, 55P91, 55R65, 55R91, 57R35 ISBN 3-540-50187-8 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-50187-8 Springer-Verlag New York Berlin Heidelberg
This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. Duplication of this publication or parts thereof is only permitted under the provisions of the German Copyright Law of September 9, 1965, in its version of June 24, 1985, and a copyright fee must always be paid. Violations fall under the prosecution act of the German Copyright Law.
© Springer-Verlag Berlin Heidelberg 1988 Printed in Germany Printing and binding: Druckhaus Beltz, Hemsbach/Bergstr. 2146/3140-543210
To my Parents
Preface
It is a pleasure for me to acknowledge my debt to all those who have contributed to this book.
My interest in fixed point theory originates from lectures given by Albrecht Dold at the university of Heidelberg. I am especially thankful to him and to Dieter Puppe who taught me most of what I know about algebraic topology and homotopy theory. Concerning the book's actual contents, I could further profit from various papers of Tammo tom Dieck and his pupils treating related topics. I am very grateful to my friends Monica Clapp and Carlos Prieto for their repeated encouragements to publish this text, and I am obliged to the SpringerVerlag for accepting it into its Lecture Notes of Mathematics series. The project, however, could not have been realized without the generous assistance of IBM. I was impressed how the IBM research and development laboratory in B6blingen promoted the scientific interests of one of its employees which, by no means, were related to the company's vital business interests.
IBM subsidized the translation of the German original done by Andreas Schroth and Christiane Vierthaler. lowe both of them sincere thanks for their careful efforts. The tiresome work of typing the manuscript and formatting the text to its final layout was considerably facilitated by IBM's text processing tools. For printing, an IBM 3820 allpointsaddressable printer was at my disposal. I am very much indebted to my managers Karl Niebel and Gunther Sonntag who supported the publication and who gave me the time to complete it. Finally, I wish to thank my wife for her patient understanding and for her moral help over the past year.
Tubingen, fall 1987
H anna Ulrich
Contents 1
Introduction
CHAPTER I
Preliminaries on Group Actions
.
7
1. Some Set Theory on Compact Lie Groups
7
2. On the Topology of Spaces with Group Action
9
.
Data Loading...
