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首页John M. Lee _Introduction_to_topological_manifolds
topological manifold的入门教程,从拓扑学基础紧性compact和连通性connnection开始,引入拓扑流形的基本概念,探讨拓扑流形的各性质,涵盖拓扑以及拓扑流形的一些基础知识,同伦论与基本群,单纯形,复形,singular同调论等。 特点是思路很清晰,且深入浅出,易于理解。
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John M. Lee
Introduction to
Second Edition
Topological Manifolds
John M. Lee
Department of Mathematics
University of Washington
Seattle, Washington 98195-4350
USA
lee@math.washington.edu
Editorial Board:
S. Axler K. A. Ribet
Mathematics Department Mathematics Department
San Francisco State University University of California at Berkeley
San Francisco, CA 94132 Berkeley, CA 94720
USA USA
axler@sfsu.edu ribet@math.berkeley.edu
ISBN 978-1-4419-7939-1 e-ISBN 978-1-4419-7940-7
DOI 10.1007/978-1-4419-7940-7
Springer New York Dordrecht Heidelberg London
Mathematics Subject Classification (2010): 54-01, 55-01, 57-01
© Springer Science+Business Media, LLC 2011
All rights reserved. This work may not be translated or copied in whole or in part without the written
permission of the publisher (Springer Science+Business Media LLC, 233 Spring Street, New York,
NY 10013, U.S.A.), except for brief excerpts in connection with reviews or scholarly analysis. Use in
connection with any form of information storage and retrieval, electronic adaptation, computer
software, or by similar or dissimilar methodology now known or hereafter developed is forbidden.
subject to proprietary rights.
Printed on acid-free paper
Springer is part of Springer Science+Business Media (www.springer.com)
The use in this publication of trade names, trademarks, service marks and similar terms, even if they
are not identified as such, is not to be taken as an expression of opinion as to whether or not they are
ISSN 0072-5285
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