Cohomological Methods in Homotopy Theory Barcelona Conference on Alg
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Series Editors H. Bass J. Oesterle A. Weinstein
Cohomological Methods in H o m o t o p y T h e o r y Barcelona Conference on Algebraic Topology, Bellaterra, Spain, June 4-10, 1998 Jaume Aguade Carles Broto Carles Casacuberta Editors
Springer Basel AG
Editors' address: Departement de Matemätiques Universität Autönoma de Barcelona 08193 Bellaterra Spain
e-mail: [email protected] [email protected] [email protected]
2000 Mathematics Subject Classification 55Pxx; 55Mxx, 55Nxx, 55Qxx, 55Rxx, 55Sxx, 55Uxx
A CIP catalogue record for this book is available from the Library of Congress, Washington D.C., USA
Deutsche Bibliothek Cataloging-in-Publication Data Cohomological methods in homotopy theory / Barcelona Conference on Algebraic Topology, Bellaterra, Spain, June 4-10, 1998. Jaume Aguade ... ed. - Basel; Boston ; Berlin : Birkhäuser, 2001 (Progress in mathematics ; Vol. 196) ISBN 978-3-0348-9513-2 ISBN 978-3-0348-8312-2 (eBook) DOI 10.1007/978-3-0348-8312-2
ISBN 978-3-0348-9513-2
This work is subject to copyright. Allrightsare reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. For any kind of use whatsoever, permission from the copyright owner must be obtained. © 2001 Springer Basel A G Originally published by Birkhäuser Verlag in 2001 Softcover reprint of the hardcover 1st edition 2001 Member of the BertelsmannSpringer Publishing Group Printed on acid-free paper produced of chlorine-free pulp. TCF » ISBN 978-3-0348-9513-2 98765432 1
Table of Contents
Foreword ............ . ............. . ......... . ............ . ............... Marian Florin Anton Etale approximations and the mod I cohomology of G Ln
VII
1
Christian Ausoni On the Hurewicz map and Postnikov invariants of KZ
11
Bernard Badzioch Recognition principle for generalized Eilenberg- Mac Lane spaces
21
A. J . Berrick and P. H. Kropholler Groups with infinite homology
27
J. Michael Boardman and W. Stephen Wilson Unstable splittings related to Brown-Peterson cohomology
35
Carl-Friedrich Bodigheimer and Ulrike Tillmann Stripping and splitting decorated mapping class groups
47
F. R. Cohen and S. Gitler Loop spaces of configuration spaces, braid-like groups, and knots. . . . . 59 F. R. Cohen and Ran Levi On the homotopy type of infinite stunted projective spaces. . . . .
. . . . .79 .
M. C. Crabb and J. R. Hubbuck Stable splittings of nSU(n)
91
Juan A. Crespo Structure of mod pH-spaces with finiteness conditions. . . . . . . . . . ... 103 . . Brayton Gray Composition methods in the homotopy groups of ring spectra. . ......
131
J. P. C. Greenlees Tate cohomology in axiomatic stable homotopy theory............ . ..
149
Jesper Grodal Serre's theorem and the N ill filtration of Lionel Schwartz ..... . ......
177
Nicholas J. Kuhn New relationships among loopspaces, symmetric products, and Eilenberg MacLane spaces ....................................... 185 Wol
