Algebraic Topology Proceedings of a Workshop held at the University
During the Winter and spring of 1985 a Workshop in Algebraic Topology was held at the University of Washington. The course notes by Emmanuel Dror Farjoun and by Frederick R. Cohen contained in this volume are carefully written graduate level expositions o
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1286 H. R. Miller D. C. Ravenel (Eds)
Algebraic Topology Proceedings of a Workshop held at the University of Washington, Seattle, 1985
Springer-Verlag Berlin Heidelberg New York London Paris Tokyo
Lecture Notes in Mathematics Edited by A. Oold and B. Eckmann
1286 H. R. Miller D. C. Ravenel (Eds)
Algebraic Topology Proceedings of a Workshop held at the University of Washington, Seattle, 1985
Springer-Verlag Berlin Heidelberg New York London Paris Tokyo
Editors
Haynes R. Miller Room 2-237, Department of Mathematics Massachusetts Institute of Technology Cambridge, MA 02139, USA Douglas C. Ravenel Department of Mathematics, University of Washington Seattle, WA 98195, USA
Mathematics Subject Classification (1980): 55-06 ISBN 3-540-18481-3 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-18481-3 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 1987 Printed in Germany Printing and binding: Druckhaus Beltz, Hemsbach/Bergstr. 2146/3140-543210
Preface The University of Washington hosted a Workshop in Algebraic Topology during the 1984-85 academic year. The program had several components. Four topics courses were offered: Doug Ravenel,
"1m J and the EHP sequence."
Emmanuel Dror Farjoun, "Homotopy and homology theory for diagrams of spaces." Fred Cohen,
"Some aspects of classical homotopy theory."
Mark Mahowald,
"The Kervaire invariant."
Some 29 topologists visited Seattle for varying periods of time, mainly in the Winter and Spring quarters. A very active seminar resulted; a schedule follows on pages v and vi. We gratefully acknowledge support from several sources. The Department of Mathematics focused its resources on it: Fred Cohen, Emmanuel Dror Farjoun, and Mark Mahowald were given visiting positions; four quarters of topics courses with very low nominal enrollment were offered; and the recently donated Milliman endowment underwrote the visit by J. Frank Adams as well as a number of others. The N.S.F. provided travel and per diem support under grant number DMS-8407234. In this volume we have collected lecture notes from the courses of Fred Cohen and Emmanuel Dror Farjoun, together with papers submitted by participants in the workshop. All have been refereed; we wish to thank the referees for their assistance. This volume is dedicated to Seattle's children, Helen Beatrice Whalen Cohen and Meier Amir Farjoun.
Contents
F.R. Cohen, A course in some aspects of classical homotopy theory •...•... E. Dror Far
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