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The left derived tensor product of CAT valued diagrams. (English) Zbl 0779.18009

Author’s abstract: The tensor product \(\otimes\) of \({\mathcal {CAT}}\)-valued diagrams is left derived in the sense of Quillen’s homotopical algebra. The calculus of the resulting operation on categories of diagrams is developed and its principal properties enumerated. Thomason’s identification of homotopy colimits in \({\mathcal {CAT}}\) with the Grothendieck construction is exhibited as an important special case.

MSC:

18G55 Nonabelian homotopical algebra (MSC2010)

Citations:

Zbl 0392.18001
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References:

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