Algebraic topology of finite topological spaces and applications
This volume deals with the theory of finite topological spaces and its relationship with the homotopy and simple homotopy theory of polyhedra. The interaction between their intrinsic combinatorial and topological structures makes finite spaces a useful tool for studying problems in Topology, Algebra...
Zapisane w:
| 1. autor: | |
|---|---|
| Format: | Livre numérique |
| Język: | Anglais |
| Wydane: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Wydanie: | 1st ed. 2011. |
| Seria: | Lecture Notes in Mathematics
2032 |
| Hasła przedmiotowe: | |
| Dostęp online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Komentarz: |
L'impression du document génère 183 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Algebraic topology of finite topological spaces and applications, Jonathan A. Barmak, Heidelberg, Springer, 2011, 1 vol. (XVII-170 p.), Lecture notes in mathematics, 978-3-642-22002-9 • Algebraic topology of finite topological spaces and applications, Jonathan A. Barmak, Heidelberg, Springer, 2011, 1 vol. (XVII-170 p.), Lecture notes in mathematics, 978-3-642-22002-9 • Algebraic Topology of Finite Topological Spaces and Applications, Texte imprimé, 9783642220043 |
Spis treści:
- 1 Preliminaries 2 Basic topological properties of finite spaces 3 Minimal finite models 4 Simple homotopy types and finite spaces 5 Strong homotopy types 6 Methods of reduction 7 h-regular complexes and quotients 8 Group actions and a conjecture of Quillen 9 Reduced lattices 10 Fixed points and the Lefschetz number 11 The Andrews-Curtis conjecture