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Topology and Geometry /

This book is intended as a textbook for a first-year graduate course on algebraic topology, with as strong flavoring in smooth manifold theory. Starting with general topology, it discusses differentiable manifolds, cohomology, products and duality, the fundamental group, homology theory, and homotop...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Bredon, Glen E.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York, 1993.
Colección:Graduate texts in mathematics ; 139.
Temas:
Acceso en línea:Texto completo

MARC

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490 1 |a Graduate Texts in Mathematics,  |x 0072-5285 ;  |v 139 
520 |a This book is intended as a textbook for a first-year graduate course on algebraic topology, with as strong flavoring in smooth manifold theory. Starting with general topology, it discusses differentiable manifolds, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory. It covers most of the topics all topologists will want students to see, including surfaces, Lie groups and fibre bundle theory. With a thoroughly modern point of view, it is the first truly new textbook in topology since Spanier, almost 25 years ago. Although the book is comprehensive, there is no attempt made to present the material in excessive generality, except where generality improves the efficiency and clarity of the presentation. 
505 0 |a I General Topology -- II Differentiable Manifolds -- III Fundamental Group -- IV Homology Theory -- V Cohomology -- VI Products and Duality -- VII Homotopy Theory -- Appendices -- App. A. The Additivity Axiom -- App. B. Background in Set Theory -- App. C. Critical Values -- App. D. Direct Limits -- App. E. Euclidean Neighborhood Retracts -- Index of Symbols. 
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