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Topology

Couverture
11 Avis
Prentice Hall, Incorporated, 2000 - 537 pages

This introduction to topology provides separate, in-depth coverage of both general topology and algebraic topology. Includes many examples and figures. 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. The Seifert-van Kampen Theorem. Classification of Surfaces. Classification of Covering Spaces. Applications to Group Theory. For anyone needing a basic, thorough, introduction to general and algebraic topology and its applications.

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Review: Topology

Avis d'utilisateur  - Joecolelife - Goodreads

This book is pretty much a standard. It has a number of strong points. It is self-contained relative to students even at a fairly elementary level. There are a lot of exercises, and they are ... Consulter l'avis complet

Review: Topology

Avis d'utilisateur  - Ronald Lett - Goodreads

An excellent introduction to point-set and light algebraic topology. If this is your first exposure to topology, I would recommend Kinsey's "Topology of Surfaces" as a companion of solid applications in the specific case of compact 2-dimensional topology. Consulter l'avis complet

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Table des matières

Set Theory and Logic
3
Topological Spaces and Continuous Functions
75
Basis for a Topology
78
Droits d'auteur

75 autres sections non affichées

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