Algebraic Topology Via Differential Geometry

Algebraic Topology Via Differential Geometry
Author: M. Karoubi
Publisher: Cambridge University Press
Total Pages: 380
Release: 1987
Genre: Mathematics
ISBN: 9780521317146

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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.


Algebraic Topology Via Differential Geometry
Language: en
Pages: 380
Authors: M. Karoubi
Categories: Mathematics
Type: BOOK - Published: 1987 - Publisher: Cambridge University Press

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In this volume the authors seek to illustrate how methods of differential geometry find application in the study of the topology of differential manifolds. Prer
Differential Forms in Algebraic Topology
Language: en
Pages: 319
Authors: Raoul Bott
Categories: Mathematics
Type: BOOK - Published: 2013-04-17 - Publisher: Springer Science & Business Media

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Developed from a first-year graduate course in algebraic topology, this text is an informal introduction to some of the main ideas of contemporary homotopy and
Algebraic Topology Via Differential Geometry
Language: en
Pages: 263
Authors: Max Karoubi
Categories: Algebraic topology
Type: BOOK - Published: 1987 - Publisher:

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Differential Algebraic Topology
Language: en
Pages: 234
Authors: Matthias Kreck
Categories: Mathematics
Type: BOOK - Published: 2010 - Publisher: American Mathematical Soc.

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This book presents a geometric introduction to the homology of topological spaces and the cohomology of smooth manifolds. The author introduces a new class of s
Differential Geometry
Language: en
Pages: 347
Authors: Loring W. Tu
Categories: Mathematics
Type: BOOK - Published: 2017-06-01 - Publisher: Springer

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This text presents a graduate-level introduction to differential geometry for mathematics and physics students. The exposition follows the historical developmen