Geodesic
Filtered cocategories
Theory and applications of categories, Tome 35 (2020), pp. 1726-1770

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We recall the notions of a graded cocategory, conilpotent cocategory, morphisms of such (cofunctors), coderivations and define their analogs in L-filtered setting. The difference with the existing approaches: we do not impose any restriction on Λ-modules of morphisms (unlike Fukaya and collaborators), we consider a wider class of filtrations than De Deken and Lowen (including directed groups L). Results for completed filtered conilpotent cocategories include: cofunctors and coderivations with value in completed tensor cocategory are described, a partial internal hom is constructed as the tensor cocategory of certain coderivation quiver, when the second argument is a completed tensor cocategory.

Publié le :
Classification : 18G70, 18D15
Keywords: Cocategory, cofunctor, coderivation, filtration 
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     author = {Volodymyr Lyubashenko},
     title = {Filtered cocategories},
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     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2020_35_a46/}
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Volodymyr Lyubashenko. Filtered cocategories. Theory and applications of categories, Tome 35 (2020), pp. 1726-1770. http://geodesic.mathdoc.fr/item/TAC_2020_35_a46/