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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