Prentice Hall, Incorporated, 2000 - 537 sider
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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LibraryThing ReviewBrukerevaluering - dominus - LibraryThing
This is one of those obtuse books where even when you already know everything it is going to say, the presentation is turgid and confusing. The writing is tedious and fails to communicate the interest ... Les hele vurderingen