Articoli correlati a A First Course in Algebraic Topology

A First Course in Algebraic Topology - Brossura

Kosniowski, Czes

 
9780521298643: A First Course in Algebraic Topology
Brossura
ISBN 10: 0521298644 ISBN 13: 9780521298643
Casa editrice: Cambridge University Press, 2009

Sinossi

This self-contained introduction to algebraic topology is suitable for a number of topology courses.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Descrizione del libro

This self-contained introduction to algebraic topology is suitable for a number of topology courses. It has been written at a level which will enable the reader to use it for self-study as well as a course book. The approach is leisurely and a geometric flavour is evident throughout.

Contenuti

Preface; Sets and groups; 1. Background: metric spaces; 2. Topological spaces; 3. Continuous functions; 4. Induced topology; 5. Quotient topology (and groups acting on spaces); 6. Product spaces; 7. Compact spaces; 8. Hausdorff spaces; 9. Connected spaces; 10. The pancake problems; 11. Manifolds and surfaces; 12. Paths and path connected spaces; 12A. The Jordan curve theorem; 13. Homotopy of continuous mappings; 14. 'Multiplication' of paths; 15. The fundamental group; 16. The fundamental group of a circle; 17. Covering spaces; 18. The fundamental group of a covering space; 19. The fundamental group of an orbit space; 20. The Borsuk-Ulam and ham-sandwhich theorems; 21. More on covering spaces: lifting theorems; 22. More on covering spaces: existence theorems; 23. The Seifert_Van Kampen theorem: I Generators; 24. The Seifert_Van Kampen theorem: II Relations; 25. The Seifert_Van Kampen theorem: III Calculations; 26. The fundamental group of a surface; 27. Knots: I Background and torus knots; 27. Knots : II Tame knots; 28A. Table of Knots; 29. Singular homology: an introduction; 30. Suggestions for further reading; Index.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Cambridge University Press
Data di pubblicazione
2009
Lingua
Inglese
ISBN 10 
0521298644
ISBN 13 
9780521298643
Rilegatura
Copertina flessibile
Numero di pagine
280
Contatto del produttore
non disponibile
Persona responsabile
gpsr@libri.de
gpsr@libri.de

Europaallee 1
Bad Hersfeld
36244
Germania