Topology

By:

Marco Manetti

Format:

Paperback / softback

Series:

Unitext

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Description

This is an introductory textbook on general and algebraic topology, aimed at anyone with a basic knowledge of calculus and linear algebra. It provides full proofs and includes many examples and exercises. The covered topics include: set theory and cardinal arithmetic; axiom of choice and Zorn's lemma; topological spaces and continuous functions; connectedness and compactness; Alexandrov compactification; quotient topologies; countability and separation axioms; prebasis and Alexander's theorem; the Tychonoff theorem and paracompactness; complete metric spaces and function spaces; Baire spaces; homotopy of maps; the fundamental group; the van Kampen theorem; covering spaces; Brouwer and Borsuk's theorems; free groups and free product of groups; and basic category theory. While it is very concrete at the beginning, abstract concepts are gradually introduced. It is suitable for anyone needing a basic, comprehensive introduction to general and algebraic topology and its applications.

Author Biography:

Prof. Marco Manetti, Dipartimento di Matematica "Guido Castelnuovo", Sapienza - Università di Roma, Roma, Italy.

Release date NZ

June 10th, 2015

Author

Marco Manetti

Audience

Undergraduate

Illustrations

72 Illustrations, black and white; XII, 309 p. 72 illus.

Pages

309

Series

Unitext

Dimensions

155x235x17

ISBN-13

9783319169576

Product ID

23106995

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