Erschienen: 10.06.2015 Abbildung von Manetti | Topology | 2015 | 2015 | 91

Buch. Softcover

2015. 2015

xii, 309 S.

Springer. ISBN 978-3-319-16957-6

Format (B x L): 15,5 x 23,5 cm

Gewicht: 498 g

Das Werk ist Teil der Reihe: UNITEXT; 91 La Matematica per il 3+2

Produktbeschreibung

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.

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