Topology I: General Survey / Edition 1

Topology I: General Survey / Edition 1

by S.P. Novikov
     
 

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ISBN-10: 3540170073

ISBN-13: 9783540170075

Pub. Date: 01/22/1996

Publisher: Springer Berlin Heidelberg

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

Overview

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.

Product Details

ISBN-13:
9783540170075
Publisher:
Springer Berlin Heidelberg
Publication date:
01/22/1996
Series:
Encyclopaedia of Mathematical Sciences Series, #12
Edition description:
1996
Pages:
322
Product dimensions:
6.10(w) x 9.25(h) x 0.03(d)

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