Topology I: General Survey (Encyclopaedia of Mathematical Sciences) - Sergei Petrovich Novikov (edt.) (1996)
ISBN 3540170073
Publisher Springer
Publication Date 1/22/1996
Format Hardcover (236 x 157 mm)
Language English
Translator B. Botvinnik
Translator R. Burns
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. It 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, CW-complexes, homology and homotopy, through bordism theory and K-theory to the Adams-Novikov spectral sequence, and 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 is the flagship of the topology subseries of the Encyclopaedia.
Personal Details
Collection Status In Collection
Index 4
Read It Yes
Links Amazon US
Product Details
LoC Classification BA95.06.29 vol 12 1986
Cover Price $139.00
No. of Pages 324
Original Publication Year 1995