2011/11/09 by Hideto Asashiba, Asashiba, Hideto · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #math.RT
paper · pdf · doi:10.48550/arxiv.1111.2239
23 pages, ver 2: A construction of oplax functors using a comonad is added by generalizing a tiny example that should be corrected either by putting a relationβ'α'= \id_{x'} on X(2) or changing the definition of X(a) to "X(a)(z):= y' for z=x,y and X(a)(γ):= \id_{y'} for γ= \id_x, \id_y, α, β" in Section 2. Some references were added
openalex publication_date 2011/11/09 · arxiv created 2012/04/09 · arxiv updated 2012/04/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let \Bbbk be a commutative ring and I a category. As a generalization of a \Bbbk-category with a (pseudo) action of a group we consider a family of \Bbbk-categories with a (pseudo, lax, or oplax) action of I, namely an oplax functor from I to the 2-category of small \Bbbk-categories. We investigate derived equivalences of those oplax functors, and establish a Morita type theorem for them. This gives a base of investigations of derived equivalences of Grothendieck constructions of those oplax functors.