Geodesic
Algebraic Homotopy Theory
Canadian journal of mathematics, Tome 33 (1981) no. 2, pp. 302-319

Voir la notice de l'article provenant de la source Cambridge University Press

Kan and Miller have shown in [9] that the homotopy type of a finite simplicial set K can be recovered from its R-algebra of 0-forms A 0 K, when R is a unique factorization domain. More precisely, if is the category of simplicial sets and is the category of R-algebras there is a contravariant functor with the simplicial set homomorphisms from X to the simplicial R-algebra ∇, where and the faces and degeneracies of ∇ are induced by and respectively. 
Jardine, J. F. Algebraic Homotopy Theory. Canadian journal of mathematics, Tome 33 (1981) no. 2, pp. 302-319. doi: 10.4153/CJM-1981-025-9
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