Glen E. Bredon

Topology and Geometry (eBook, PDF)

• Format: PDF

Produktbeschreibung

This book offers an introductory course in algebraic topology. Starting with general topology, it discusses differentiable manifolds, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory.

From the reviews: "An interesting and original graduate text in topology and geometry...a good lecturer can use this text to create a fine course....A beginning graduate student can use this text to learn a great deal of mathematics."--MATHEMATICAL REVIEWS

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 557
• Erscheinungstermin: 9. März 2013
• Englisch
• ISBN-13: 9781475768480
• Artikelnr.: 43983408

Inhaltsangabe

Preface; 1. General Topology; 2. Diferentiable Manifolds; 3. Fundamental Group; 4. Homology Theory; 5. Cohomology; 6. Products and Duality; 7. Homotopy Theory; Appendices A-E; Bibliography; Index of Symbols; Index

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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.

Rezensionen

G.E. Bredon Topology and Geometry "An interesting and original graduate text in topology and geometry. The topics covered include . . . general topology, smooth manifolds, homology and homotopy groups, duality, cohomology and products . . . a good lecturer can use this text to create a fine course at the appropriate level . . . There are various innovative things, which are accessible but not traditionally covered. A beginning graduate student can use this text to learn a great deal of mathematics."-MATHEMATICAL REVIEWS