Unlimited

Authorized users

Can lend chapters, not whole ebooks

Topology / Marco Manetti.

Topologia. English

Second edition.

9783031321429 electronic book
3031321421 electronic book
9783031321412
3031321413

Cham, Switzerland : Springer, [2023]

English

1 online resource (xiv, 377 pages) : illustrations.

10.1007/978-3-031-32142-9 doi

QA611 .M3613 2023

514

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.

Includes bibliographical references and index.

Access limited to authorized users.

Description based on online resource; title from digital title page (viewed on October 13, 2023).

Unitext ; 153.
Unitext. Matematica per il 3+2.

Print version: 9783031321412

Online Resources > Ebooks
All Resources