Geodesic
Behavior of Quillen (co)homology with respect to adjunctions
Homology, homotopy, and applications, Tome 17 (2015) no. 1, pp. 67-109.

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

This paper aims to answer the following question: Given an adjunction between two categories, how is Quillen (co)homology in one category related to that in the other? We identify the induced comparison diagram, giving necessary and sufficient conditions for it to arise, and describe the various comparison maps. Examples are given. Along the way, we clarify some categorical assumptions underlying Quillen (co)homology: cocomplete categories with a set of small projective generators provide a convenient setup.
DOI : 10.4310/HHA.2015.v17.n1.a3
Classification : 13D03, 18G30, 18G55, 55U35
Keywords: Quillen, homology, cohomology, adjunction, simplicial, model structure, comparison 
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     title = {Behavior of {Quillen} (co)homology with respect to adjunctions},
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     pages = {67--109},
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Martin Frankland. Behavior of Quillen (co)homology with respect to adjunctions. Homology, homotopy, and applications, Tome 17 (2015) no. 1, pp. 67-109. doi : 10.4310/HHA.2015.v17.n1.a3. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2015.v17.n1.a3/

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