Topology

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...

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Bibliographic Details
Main Author Manetti, Marco
Format Electronic eBook
LanguageEnglish
Published Cham : Springer Nature Switzerland : Imprint: Springer, 2023.
Edition2nd ed. 2023.
SeriesLa Matematica per il 3+2, 153.
Subjects
Topology.
elektronické knihy
electronic books
Online AccessFull text
ISBN9783031321429
9783031321412
ISSN2038-5757 ;
Physical Description1 online zdroj (383 stran).

Cover

TOC from ObalkyKnih.cz
Table of Contents:
  • 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.

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