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Can lend chapters, not whole ebooks
Title
Topology / Marco Manetti.
Uniform Title
Topologia. English
Edition
Second edition.
ISBN
9783031321429 electronic book
3031321421 electronic book
9783031321412
3031321413
Published
Cham, Switzerland : Springer, [2023]
Language
English
Description
1 online resource (xiv, 377 pages) : illustrations.
Item Number
10.1007/978-3-031-32142-9 doi
Call Number
QA611 .M3613 2023
Dewey Decimal Classification
514
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Description based on online resource; title from digital title page (viewed on October 13, 2023).
Series
Unitext ; 153.
Unitext. Matematica per il 3+2.
Available in Other Form
Print version: 9783031321412
1 Geometrical introduction to topology
2 Sets
3 Topological structures
4 Connectedness and compactness
5 Topological quotients
6 Sequences
7 Manifolds, infinite products and paracompactness
8 More topics in general topology
9 Intermezzo
10 Homotopy
11 The fundamental group
12 Covering spaces
13 Monodromy
14 van Kampen's theorem
15 A topological view of sheaf cohomology
16 Selected topics in algebraic topology
17 Hints and solutions.
