Geometric Topology and Shape Theory Proceedings of a Conference held

The aim of this international conference the third of its type was to survey recent developments in Geometric Topology and Shape Theory with an emphasis on their interaction. The volume contains original research papers and carefully selected survey of cu

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1283 S. Mardesic J. Segal (Eds)

Geometric Topology and Shape Theory Proceedings of a Conference held in Oubrovnik, Yugoslavia, Sept. 29 - Oct. 10, 1986

Springer-Verlag Berlin Heidelberg New York London Paris Tokyo

Lecture Notes in Mathematics Edited by A. Oold and B. Eckmann

1283 S. Mardesic J. Segal (Eds)

Geometric Topology and Shape Theory Proceedings of a Conference held in Oubrovnik, Yugoslavia, Sept. 29 - Oct. 10, 1986

Springer-Verlag Berlin Heidelberg New York London Paris Tokyo

Editors

Sibe Mardesic Department of Mathematics, University of Zagreb PO. Box 187 41001 Zagreb, Yugoslavia Jack Segal Department of Mathematics, University of Washington Seattle, WA 98195, USA

Mathematics Subject Classification (1980): 54C35, 54C56, 54035, 54F35, 55-06, 55M10, 55M20, 55M30, 55N07, 55R65, 57N35, 57N60, 55P55, 57010,57035 ISBN 3-540-18443-0 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-18443-0 Springer-Verlag New York Berlin Heidelberg

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FOREWORD From September 29 to October 10, 1986, the University of Zagreb sponsored a Postgraduate School and Conference on Geometric Topology and Shape Theory at the Interuniversity Centre of Postgraduate Dubrovnik, Yugoslavia. This was the third such school and conference held at the Centre. The two previous ones were held from January 12 to January 30,

1976 and from January 19 to January 30,

1981.

The meeting was devoted to the interaction of Geometric Topology and Shape Theory. In particular, the aim was to cover the following topics:

decomposition theory, cell­like mappings and CE­equivalent

compacta, infinite­dimensional spaces, approximate fibrations and shape fibrations,

fibered shape, ANR's and

LCn­compacta,manifolds

and generalized manifolds, embeddings of continua into manifolds, complement theorems in shape theory, shape­theoretic methods in group theory, exact homologies and strong shape theory. The

articles in the Proceedings appear in alphabetic order

by author. The addresses of all participants and authors of contributed papers are given at the end of the volume.

S.Mardesic J.Segal

CONTENTS 1.

F.D. Ancel, An alternate proof of M. Brown's theorem on inverse sequences of near homeomorphisms . . . . . . . . • . . • . . . . . . . . . . . • . . . . . . . . • . . . . . . .

1 3

2.

F. Bauer, Strong homology theories . . . . • . . . • . . . . . . .