The combinatorial model for the Sullivan functor on simplicial sets
(2009) Journal of Pure and Applied Algebra — Vol. 213, n° 2, p. 231-240 (2009)
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- Abstract
- 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.
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Félix, Y., Jessup, B., & Parent, P.-E. (2009). The combinatorial model for the Sullivan functor on simplicial sets. Journal of Pure and Applied Algebra, 213(2), 231-240. https://doi.org/10.1016/j.jpaa.2008.06.011 (Original work published 2009)