The combinatorial model for the Sullivan functor on simplicial sets

• Autores: Yves Felix , Barry Jessup , Paul-Eugène Parent
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 213, Nº 2, 2009, págs. 231-240
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2008.06.011
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• Resumen

  • 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 APL(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.