Lectures on Algebraic Topology Reprint of the 1972 Edition

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Albrecht Dold was born on August 5,1928 in Triberg (Black Forest), Germany. He studied mathematics and physics at the University of Heidelberg, then worked for some years at the Institute for Advanced Study in Princeton, at Columbia University, New York and at the University of Zurich. In 1963 he returned to Heidelberg where he has stayed since, declining several offers to attractive positions elsewhere. A. Dold's seminal work in algebraic topology has brought him international recognition beyond the world of mathematics itself. In particular, his work on fixed -point theory has made his a household name in economics, and this book a standard reference among economists as well as mathematicians.

Albrecht Dold

Lectures on Algebraic Topology Reprint of the 1972 Edition

Springer

Albrecht Dold Mathematisches Institut der Universitat Heidelberg 1m Neuenheimer Feld 288 69120 Heidelberg Germany

Originally published as Vol. 200 of the

Grundlehren der mathematischen Wissenschaften

Mathematics Subject Classification (1991): Primary 57N65, 55NI0, 55N45, 55UI5-25, 54EXX Secondary 55M20-25

ISBN-13: 978-3-540-58660-9 e-ISBN-13:978-3-642-67821-9 DOl: 10.1007/978-3-642-67821-9 Photograph by kind permission of Alfred Hofmann

CIP data applied for 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, reuse of illustration, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provision of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer-Verlag. Violations are liable for prosecution under the German Copyright Law. Springer-Verlag is a part of Springer Science+ Business Media springeronline.com

e Springer-Verlag Berlin Heidelberg 1995 The use of general descriptive names, 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 protective laws and regulations and therefore free for general use. SPIN 11326144

41/3111 - 543 2 -

Printed on acid-free paper

A. Dold

Lectures on Algebraic Topology

With 10 Figures

Springer-Verlag Berlin Heidelberg New York 1972

Albrecht Dold Mathematisches Institut der Universitllt Heidelberg

AMS Subject Classifications (1970) Primary 57A65, 55BI0, 55B45, 55JI5-25, 54E60 Secondary 55C20-25

ISBN-13: 978-3-540-58660-9 e-ISBN-13: 978-3-642-67821-9 DOl: 10.1007/978-3-642-67821-9

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 ยง S4 of the German Copyright Law where copies are made for other than private use, a fee is payable to the publis