Totalization of simplicial homotopy types
classification
🧮 math.AT
math.KT
keywords
categoryhomotopysimplicialtotalizationalgebrascyclicdefinedfunctor
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We identify the obstructions for the functoriality and the uniqueness of the totalization functor, (partially) defined on the category of simplicial objects in the homotopy category of a stable model category, and we use a result from the cyclic homology of group algebras to show they can be non-zero.
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