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Essentials of topology with applications

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Author(s): Steven G Krantz
Series: Textbooks in mathematics (Boca Raton, Fla.)
Publisher: CRC Press
Year: 2010

Language: English
Pages: xv, 404 pages : illustrations ; 26 cm
City: Boca Raton
Tags: Математика;Топология;


Content: Fundamentals --
Advanced properties of topological spaces --
Basic algebraic topology --
Manifold theory --
Moore-Smith convergence and nets --
Function spaces --
Knot theory --
Graph theory --
Dynamical systems --
Appendix 1: Principles of logic --
Appendix 2: Principles of set theory --
Appendix 3: The real numbers --
Appendix 4: The axiom of choice and its implications --
Appendix 5: Ideas from algebra.