Syzygies and Homotopy Theory
The most important invariant of a topological space is its fundamental group. When this is trivial, the resulting homotopy theory is well researched and familiar. In the general case, however, homotopy theory over nontrivial fundamental groups is much mor
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Algebra and Applications Volume 17
Series Editors: Alice Fialowski Eötvös Loránd University, Budapest, Hungary Eric Friedlander Northwestern University, Evanston, USA John Greenlees Sheffield University, Sheffield, UK Gerhard Hiß Aachen University, Aachen, Germany Ieke Moerdijk Utrecht University, Utrecht, The Netherlands Idun Reiten Norwegian University of Science and Technology, Trondheim, Norway Christoph Schweigert Hamburg University, Hamburg, Germany Mina Teicher Bar-llan University, Ramat-Gan, Israel Alain Verschoren University of Antwerp, Antwerp, Belgium Algebra and Applications aims to publish well written and carefully refereed monographs with up-to-date information about progress in all fields of algebra, its classical impact on commutative and noncommutative algebraic and differential geometry, K-theory and algebraic topology, as well as applications in related domains, such as number theory, homotopy and (co)homology theory, physics and discrete mathematics. Particular emphasis will be put on state-of-the-art topics such as rings of differential operators, Lie algebras and super-algebras, group rings and algebras, C ∗ -algebras, Kac-Moody theory, arithmetic algebraic geometry, Hopf algebras and quantum groups, as well as their applications. In addition, Algebra and Applications will also publish monographs dedicated to computational aspects of these topics as well as algebraic and geometric methods in computer science.
F.E.A. Johnson
Syzygies and Homotopy Theory
Prof. F.E.A. Johnson Department of Mathematics University College London London, UK [email protected]
ISSN 1572-5553 e-ISSN 2192-2950 Algebra and Applications ISBN 978-1-4471-2293-7 e-ISBN 978-1-4471-2294-4 DOI 10.1007/978-1-4471-2294-4 Springer London Dordrecht Heidelberg New York British Library Cataloguing in Publication Data A catalogue record for this book is available from the British Library Library of Congress Control Number: 2011942989 Mathematics Subject Classification (2000): 16E05, 20C07, 55P15 © Springer-Verlag London Limited 2012 Apart from any fair dealing for the purposes of research or private study, or criticism or review, as permitted under the Copyright, Designs and Patents Act 1988, this publication may only be reproduced, stored or transmitted, in any form or by any means, with the prior permission in writing of the publishers, or in the case of reprographic reproduction in accordance with the terms of licenses issued by the Copyright Licensing Agency. Enquiries concerning reproduction outside those terms should be sent to the publishers. The use of registered names, trademarks, etc., in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant laws and regulations and therefore free for general use. The publisher makes no representation, express or implied, with regard to the accuracy of the information contained in this book and cannot accept any legal responsibility or liability for any errors or
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