ENGLISH

Algebraic Topology via Differential Geometry

By M. Karoubi , C. Leruste

Book information

Publisher
Cambridge University Press
Year
1987
ISBN
9780511629372, 9780521317146
DOI
10.1017/CBO9780511629372
Google Books ID
rZqEtoazLi4C
Language
english
Format
PDF
Filesize
4 MB (4130857 bytes)
Series
London Mathematical Society Lecture Note Series 99
Pages
373\373
Orientation
yes
Scanned
yes
Time added
2011-08-31 04:54:40

Description

In this volume the authors seek to illustrate how methods of differential geometry find application in the study of the topology of differential manifolds. Prerequisites are few since the authors take pains to set out the theory of differential forms and the algebra required. The reader is introduced to De Rham cohomology, and explicit and detailed calculations are present as examples. Topics covered include Mayer-Vietoris exact sequences, relative cohomology, Pioncare duality and Lefschetz's theorem. This book will be suitable for graduate students taking courses in algebraic topology and in differential topology. Mathematicians studying relativity and mathematical physics will find this an invaluable introduction to the techniques of differential geometry.

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