Geodesic
Cubical approach to derived functors
Homology, homotopy, and applications, Tome 14 (2012) no. 1, pp. 133-158.

Voir la notice de l'article provenant de la source International Press of Boston

We construct a cubical analog of the Tierney-Vogel theory of simplicial derived functors and prove that these cubical derived functors are naturally isomorphic to their simplicial counterparts. We also show that this result generalizes the well-known fact that the simplicial and cubical singular homologies of a topological space are naturally isomorphic.
DOI : 10.4310/HHA.2012.v14.n1.a7
Classification : 18E25, 18G10, 18G25, 18G30, 55N10
Keywords: derived functor, normalized chain complex, presimplicial object, projective class, projective pseudocubical resolution, pseudocubical object 
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     author = {Irakli Patchkoria},
     title = {Cubical approach to derived functors},
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     pages = {133--158},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2012.v14.n1.a7/}
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Irakli Patchkoria. Cubical approach to derived functors. Homology, homotopy, and applications, Tome 14 (2012) no. 1, pp. 133-158. doi : 10.4310/HHA.2012.v14.n1.a7. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2012.v14.n1.a7/

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