Name: Topology (en Inglés)
SKU: 57046047
Price: 80.08 USD
Availability: InStock
Author: Manetti, Marco
ISBN: 9783031321412

Formato

Libro Físico

Autor

Marco Manetti

Editorial

Springer

Idioma

Inglés

N° páginas

377

Encuadernación

Tapa Blanda

Dimensiones

23.4x15.4x2.2 cm

Peso

0.68 kg.

ISBN13

9783031321412

N° edición

0002

Categorías

Topología

Topology (en Inglés)

Marco Manetti (Autor) · Springer · Tapa Blanda

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Reseña del libro "Topology (en Inglés)"

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.