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math.AT2023
Classification Diagrams of Marked Simplicial Sets
Kensuke Arakawa
We prove that the classification diagram functor from the category of marked simplicial sets to the category of bisimplicial sets carries cartesian equivalences to Rezk equivalence…
math.AT2023
Homotopy Limits and Homotopy Colimits of Chain Complexes
Kensuke Arakawa
We give a formula for homotopy limits and homotopy colimits of diagrams of chain complexes using the cobar and bar constructions, also known as the Bousfield--Kan formula. Along th…