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 introduce...

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Bibliographic Details

Main Author:	Karoubi, Max (Author)
Format:	Electronic eBook
Language:	English
Published:	Cambridge Cambridge University Press 1987
Series:	London Mathematical Society lecture note series 99
Subjects:	Algebraic topology Geometry, Differential Geometrie Algebraische Topologie DeRham-Kohomologie Mannigfaltigkeit Topologische Algebra
Online Access:	BSB01 FHN01 Volltext
Summary:	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
Item Description:	Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Physical Description:	1 online resource (363 pages)
ISBN:	9780511629372
DOI:	10.1017/CBO9780511629372