Topology

ISBN-10: 0131816292
ISBN-13: 9780131816299
Edition: 2nd 2000 (Revised)
Authors: James R. Munkres
List price: $209.80 Buy it from $18.87 Rent it from $46.93
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Description: For a senior undergraduate or first year graduate-level course in Introduction to Topology. Appropriate for a one-semester course on both general and algebraic topology or separate courses treating each topic separately. This text is designed to  More...

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Book details

List price: $209.80
Edition: 2nd
Copyright year: 2000
Publisher: Prentice Hall PTR
Publication date: 12/28/1999
Binding: Hardcover
Pages: 537
Size: 7.50" wide x 9.75" long x 1.00" tall
Weight: 2.244
Language: English

For a senior undergraduate or first year graduate-level course in Introduction to Topology. Appropriate for a one-semester course on both general and algebraic topology or separate courses treating each topic separately. This text is designed to provide instructors with a convenient single text resource for bridging between general and algebraic topology courses. Two separate, distinct sections (one on general, point set topology, the other on algebraic topology) are each suitable for a one-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.

General Topology
Set Theory and Logic
Topological Spaces and Continuous Functions
Connectedness and Compactness
Countability and Separation Axioms
The Tychonoff Theorem
Metrization Theorems and Paracompactness
Complete Metric Spaces and Function Spaces
Baire Spaces and Dimension Theory
Algebraic Topology
The Fundamental Group
Separation Theorems in the Plane
The Seifert-van Kampen Theorem
Classification of Surfaces
Classification of Covering Spaces
Applications to Group Theory
Index

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