Shape Theory and Geometric Topology Proceedings of a Conference Held
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870 Shape Theory and Geometric Topology Proceedings of a Conference Held at the Inter-University Centre of Postgraduate Studies, Dubrovnik, Yugoslavia, January 19 - 30,1981
Edited by S. Mardesic and J. Segal
Springer-Verlag Berlin Heidelberg New York 1981
Editors
Sibe Mardesi6 Department of Mathematics, University of Zagreb p.a.Box 187, 41001 Zagreb, Yugoslavia Jack Segal Department of Mathematics, University of Washington Seattle, WA 98195, USA
AMS Subject Classifications (1980): 54C56, 55-06, 55M10, 55N07, 55P55,57010 ISBN 3-540-10846-7 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-10846-7 Springer-Verlag New York Heidelberg Berlin
Library of Congress Cataloging in Publication Data Main entry under title: Shape theory and geometric topology. (Lecture notes in mathematics; 870) Bibliography: p. Includes index.!. Algebraic topology--Congresses. S. (Sibs), 2. Shape theory (Topology)-- Congresses. I. 1927-11. Segal, Jack. III. Winter School and Conference on Shape Theory and Geometric Topology (2nd: 1981 : Dubrovnik, Croatia) IV. Series: Lecture notes in mathematics (Springer-Verlag); 870. OA3.L28 vol.870 [OA612] 510s [514'.2181-9145 ISBN 0-387-10846-7 (U.S.) AACR2
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© by Springer-Verlag Berlin Heidelberg 1981 Printed in Germany
Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr. 214113140-543210
FOREWORD From January 19 to January 30, 1981, the University
of Zagreb
sponsored a Winter school and Conference on Shape Theory and Geometric !opology at the Inter-University Centre of postgraduate studies, Dubrovnik, Yugoslavia. held there.
This was the second such school and conference
The first was held from January 12 to January 30, 1976
under the title Shape Theory and Pro-homotopy. The Winter school consisted of a series of lectures devoted to the interaction of shape theory with various areas of geometric topology and also involved the participation of the graduate students. particular, the aim was to cover the following topics:
In
homotopy and
shape domination, pointed and unpointed shape, improving shape representations, dimension and shape dimension, cell-like mappings and hereditary shape equivalences, approximate fibrations and shape fibrations, complement theorems and embeddings up to shape, strong shape. The contributed papers have been divided into four areas to form the chapters of this volume.
These are:
Shape and homotopy domination Geometric topology and dimension theory Complement theorems and embeddings up to shape Shape and strong shape.
Steenrod homology
In each area the articles appear in alphabetical order by author. The addresses of all p
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