Topology General and Algebraic Topology, and Applications Proceeding
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Topology General and Algebraic Topology, and Applications Proceedings of the International Topological Conference held in Leningrad, August 23-27, 1982
Edited by L. D. Faddeev and A.A. Mal'cev
Springer-Verlag Berlin Heidelberg New York Tokyo 1984
Editors
Ludwig D. Faddeev Leningrad Branch of V. A.Steklov Mathematical Institute Fontanka 27, 191011 Leningrad, D-11, USSR Arkadii A. Mal'cev V. A.Steklov Mathematical Institute Vavilova 42,117966 Moscow, GSP-l, USSR Scientific Secretary to the Editorial Board N.V.lvanov
AMS Subject Classification (1980): 54Cxx, 54 Exx, 54F20, 54Hxx, 55N20, 55P55, 55S20, 57Mxx, 57045, 57R55, 57R99, 58Fxx; 14G30, 14H20, 17B65, 18B30, 22C05, 32G15, 34A20, 34C25, 53A05, 53C80 ISBN 3-540-13337-2 Springer-Verlag Berlin Heidelberg New York Tokyo ISBN 0-387-13337-2 Springer-Verlag New York Heidelberg Berlin Tokyo This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to "Verwertungsgesellschaft Wort", Munich.
© by Springer-Verlag Berlin Heidelberg 1984 Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr. 2146/3140-543210
PREFACE
The Leningrad International Topological Conference was held at the Leningrad Department of the V.A.Steklov Mathematical Institute of the Academy of Sciences of the USSR,August 22-27, 1982. The Organizing Committee included P.S.Alexandrov, L.D.Faddeev (the chairman), A.A. Ivanov, A.A.Mal'cev, S.P.Novikov, M.M.Postnikov, and Ju.A.Smirnov. The aim of the conference was to reflect recent advances in topology and applications and to stimulate discussions for new directions and for future research. No restrictions were put on the subject matter of papers; in fact all main branches of topology were represented ranging from the most abstract branches of set-theoretical topology to the applications of geometrical ideas in theoretical physics. The program of the conference consisted of six 60-minute lectures presented by A.Dold, N.Kuiper, S.Mardesic, S.P.Novikov, V.A.Rokhlin, Ju.M.Smirnov and 168 seminar talks. The seminar talks were scheduled under three headings: General Topoloqy, Algebraic Topology, and Applications of Topology. Note that in accordance with the usual practice in the Soviet Union the papers on shape theory were read at the section on Algebraic Topology and the papers on the topology of manifolds in most cases were read at the section on Applications. Seminar reports were divided into 30-minute and 15-minute talks. The Proceedings of the conference include the majority of papers delivered as 30-minute talks and a number of the most interesting 15 minute papers. The present volume contains papers written in English. The papers written in Russian constitute the second volume of the proceedings wh
