Marco Manetti: Topology
Topology
Buch
- Springer International Publishing AG, 09/2023
- Einband: Kartoniert / Broschiert, Paperback
- Sprache: Englisch
- ISBN-13: 9783031321412
- Bestellnummer: 11593813
- Umfang: 392 Seiten
- Nummer der Auflage: 23002
- Auflage: 2nd ed. 2023
- Gewicht: 664 g
- Maße: 235 x 155 mm
- Stärke: 20 mm
- Erscheinungstermin: 3.9.2023
- Serie: La Matematica per il 3+2 - Band 153
Achtung: Artikel ist nicht in deutscher Sprache!
Weitere Ausgaben von Topology
Klappentext
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; con- nectedness and compactness; Alexandrov compactification; quotient topol- ogies; 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.This second edition contains a new chapter with a topological introduction to sheaf cohomology and applications. It also corrects some inaccuracies and some additional exercises are proposed.
The textbook is suitable for anyone needing a basic, comprehensive introduction to general and algebraic topology and its applications.