Algebraic Topology Aarhus 1982 Proceedings of a conference held in A

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1051 Algebraic Topology Aarhus 1982 Proceedings of a conference held in Aarhus, Denmark, August 1-7,1982

Edited by I. Madsen and B. Oliver

Springer-Verlag Berlin Heidelberg New York Tokyo 1984

Editors

Ib H. Madsen Robert A. Oliver Mathematics Institute, Aarhus University 8000 Aarhus C, Denmark

AMS Subject Classifications (1980): 55-XX, 57-XX, 18F25 ISBN 3-540-12902-2 Springer-Verlag Berlin Heidelberg New York Tokyo ISBN 0-387-12902-2 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

PRE F ACE

The 4th Aarhus conference on algebraic topology in connection with the I.C.M. was held August 1.-7. 1982 at the Mathematics Institute, Aarhus University. The conference was supported by the Danish Natural Science Research Council, the Aarhus University Research Fund and the Danish Mathematical Society. The conference was structured with plenary talks in the morning together with special sessions in the afternoon in three parallel running tracks. The special sessions were divided according to subject into four categories: Algebraic K-theory and L-theory Geometry of manifolds Homotopy theory Transformation groups. Titles of all talks given at the conference are listed below. These Proceedings contain papers which were presented at the conference, and some related papers. All papers have been refereed and we take this opportunity to thank the many referees. He would like to thank the City of Aarhus for inviting the participants of the conference and companions to a soupe in the Town Hall. Thanks also go to the Aarhus Congress bureau for arranging the accomodations for the participants. Especially we would like to thank Kirsten Boddum and Sonja Eld who handled the administrative and secretarial duties. Aarhus, October 1983 Ib Madsen,

Bob Oliver

TABLE OF CONTENTS

ALGEBRAIC K- AND L-THEORY: A. Bak,

A

S. Bentzen,

The

KZ

06

•...

global

06 .

8

DWhVi 66t * ) ••••

25

on M. Bokstedt,

06

The

eoeom-

On

F.T. Farrell and H.C. Hsiang,

06

a Lie

38

I. Hawbleton, L. Taylor, and B. Williams, An

49 V. Snaith,

VI. Vogell,

K-homotogy and Quitlen on o 6 c h em ...........................•...... The eanonieal

on

1 28

K-

06

156

06

F. Haldhausen,

06

and

homo173

GEOMETRY OF

and

N. Davis,

197

I. Hambleton and J.-C. Hausmann, Aeyelie

and 222

Kreck,

Some

246 263

de Boy

J. Lannes,

and

R. Lashof and L. Taylor,

on 271

Li Banghe and N. Habeggar, A

06

bundle

06 a map C. Weber,

La de A.

293

de J. Levine 315

v HOMOTOPY THEORY:

and ...