Combinatorial Algebraic Topology
Combinatorial algebraic topology is a fascinating and dynamic field at the crossroads of algebraic topology and discrete mathematics. This volume is the first comprehensive treatment of the subject in book form. The first part of the book constitutes a swift walk through the main tools of algebraic...
Uloženo v:
| Hlavní autor: | |
|---|---|
| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Vydání: | 1st ed. 2008. |
| Edice: | Algorithms and Computation in Mathematics
21 |
| Témata: | |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Poznámka: |
L'impression du document génère 388 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Combinatorial algebraic topology, Dmitry Kozlov, 2008, Berlin, Springer, 1 vol. (XIX-389 p.), Algorithms and computation in mathematics, 978-3-540-71961-8 |
Obsah:
- Concepts of Algebraic Topology Overture Cell Complexes Homology Groups Concepts of Category Theory Exact Sequences Homotopy Cofibrations Principal ?-Bundles and Stiefel Whitney Characteristic Classes Methods of Combinatorial Algebraic Topology Combinatorial Complexes Melange Acyclic Categories Discrete Morse Theory Lexicographic Shellability Evasiveness and Closure Operators Colimits and Quotients Homotopy Colimits Spectral Sequences Complexes of Graph Homomorphisms Chromatic Numbers and the Kneser Conjecture Structural Theory of Morphism Complexes Using Characteristic Classes to Design Tests for Chromatic Numbers of Graphs Applications of Spectral Sequences to Hom Complexes.