Topology, 2nd Edition is designed to provide instructors with a convenient single text resource for bridging between general and algebraic topology courses. 2 separate, distinct sections (1 on general, point set topology, the other on algebraic topology) are each suitable for a 1-semester course and are based around the same set of basic core topics. Optional, independent topics and applications can be studied and developed in depth depending on course needs and preferences. This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price.
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I. GENERAL TOPOLOGY. 1. Set Theory and Logic. 2. Topological Spaces and Continuous Functions. 3. Connectedness and Compactness. 4. Countability and Separation Axioms. 5. The Tychonoff Theorem. 6. Metrization Theorems and Paracompactness. 7. Complete Metric Spaces and Function Spaces. 8. Baire Spaces and Dimension Theory. II. ALGEBRAIC TOPOLOGY. 9. The Fundamental Group. 10. Separation Theorems in the Plane. 11. The Seifert-van Kampen Theorem. 12. Classification of Surfaces. 13. Classification of Covering Spaces. 14. Applications to Group Theory. Index.
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New and updated features of this title Greatly expanded, full-semester coverage of algebraic topology with extensive treatment of the fundamental group and covering spaces. What follows is a wealth of applications to the topology of the plane (including the Jordan curve theorem), to the classification of compact surfaces, and to the classification of covering spaces.A final chapter provides an application to group theory itself.This explores the subject much more extensively, with 1 semester devoted to general topology and a second to algebraic topology.
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Produktdetaljer

ISBN
9780134689517
Publisert
2017
Utgave
2. utgave
Utgiver
Vendor
Pearson
Vekt
880 gr
Høyde
30 mm
Bredde
230 mm
Dybde
178 mm
Aldersnivå
U, 05
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
560

Forfatter