Encyclopaedia of Mathematical Sciences

Topology I

General Survey

Authors: Novikov, S.P.

Editors: Novikov, S.P. (Ed.)

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About this book

This book constitutes nothing less than an up-to-date survey of the whole field of topology (with the exception of "general (set-theoretic) topology"), or, in the words of Novikov himself, of what was termed at the end of the 19th century "Analysis Situs", and subsequently diversified into the various subfields of combinatorial, algebraic, differential, homotopic, and geometric topology. The book gives an overview of these subfields, beginning with the elements and proceeding right up to the present frontiers of research. Thus one finds here the whole range of topological concepts from fibre spaces (Chap.2), CW-complexes, homology and homotopy, through bordism theory and K-theory to the Adams-Novikov spectral sequence (Chap.3), and in Chapter 4 an exhaustive (but necessarily concentrated) survey of the theory of manifolds. An appendix sketching the recent impressive developments in the theory of knots and links and low-dimensional topology generally, brings the survey right up to the present. This work represents the flagship, as it were, in whose wake follow more detailed surveys of the various subfields, by various authors.

Table of contents (1 chapters)

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-3-662-10579-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $189.00
price for USA
  • ISBN 978-3-540-17007-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $189.00
price for USA
  • ISBN 978-3-642-05735-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Topology I
Book Subtitle
General Survey
Authors
Editors
  • S.P. Novikov
Translated by
Botvinnik, B., Burns, R.
Series Title
Encyclopaedia of Mathematical Sciences
Series Volume
12
Copyright
1996
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-662-10579-5
DOI
10.1007/978-3-662-10579-5
Hardcover ISBN
978-3-540-17007-5
Softcover ISBN
978-3-642-05735-9
Series ISSN
0938-0396
Edition Number
1
Number of Pages
V, 322
Additional Information
Original Russian edition published by VINITI, Moscow, 1986
Topics