The combinatorial model for the Sullivan functor on simplicial sets
| Autor: | Barry Jessup, Paul-Eugène Parent, Yves Félix |
|---|---|
| Rok vydání: | 2009 |
| Předmět: |
Pure mathematics
Algebra and Number Theory Mathematics::Commutative Algebra Simplicial manifold Abstract simplicial complex 010102 general mathematics Combinatorial topology 16. Peace & justice Mathematics::Algebraic Topology 01 natural sciences Simplicial homology h-vector Simplicial complex Simplicial set Delta set 0101 mathematics Mathematics |
| Zdroj: | Journal of Pure and Applied Algebra. 213:231-240 |
| ISSN: | 0022-4049 |
| DOI: | 10.1016/j.jpaa.2008.06.011 |
| Popis: | We verify the assertion made by Sullivan at the 1974 ICM congress, and previously in print, in Appendix G of the seminal paper "Differential Forms and the Topology of Manifolds" in 1973, that the rational de Rham algebra A(PL)(K) of a finite simplicial complex K has an explicit and direct combinatorial description which is closely related to that of the Stanley-Reisner face ring of K. (C) 2008 Elsevier B.V. All rights reserved. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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