Algebraic Topology via Differential Geometry

Algebraic Topology via Differential Geometry

eBook - 1987
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Cambridge Univ Pr
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.

Publisher: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1987
ISBN: 9781107361317
1107361311
0521317142
9780521317146
9780511629372
Characteristics: 1 online resource (363 pages) : illustrations
Additional Contributors: Leruste, C.

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