nForum - Discussion Feed (Homotopy limits of simplicial diagrams) 2023-09-30T23:15:46+00:00 https://nforum.ncatlab.org/ Lussumo Vanilla & Feed Publisher Dmitri Pavlov comments on "Homotopy limits of simplicial diagrams" (51230) https://nforum.ncatlab.org/discussion/6375/?Focus=51230#Comment_51230 2014-12-12T20:44:48+00:00 2023-09-30T23:15:45+00:00 Dmitri Pavlov https://nforum.ncatlab.org/account/356/ Indeed, I forgot to take the opposite category when I considered this possibility.

Indeed, I forgot to take the opposite category when I considered this possibility.

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Zhen Lin comments on "Homotopy limits of simplicial diagrams" (51228) https://nforum.ncatlab.org/discussion/6375/?Focus=51228#Comment_51228 2014-12-12T19:17:37+00:00 2023-09-30T23:15:46+00:00 Zhen Lin https://nforum.ncatlab.org/account/318/ The category &Delta; op\mathbf{\Delta}^{op} has an initial object, so its homotopy limit is natural equivalent to the value of the diagram at that vertex.

The category $\mathbf{\Delta}^{op}$ has an initial object, so its homotopy limit is natural equivalent to the value of the diagram at that vertex.

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Dmitri Pavlov comments on "Homotopy limits of simplicial diagrams" (51227) https://nforum.ncatlab.org/discussion/6375/?Focus=51227#Comment_51227 2014-12-12T19:10:28+00:00 2023-09-30T23:15:46+00:00 Dmitri Pavlov https://nforum.ncatlab.org/account/356/ Homotopy colimits of simplicial diagrams and homotopy limits of cosimplicial diagrams have their own special names: realization and totalization. Is there a special name for homotopy limits of ...

Homotopy colimits of simplicial diagrams and homotopy limits of cosimplicial diagrams have their own special names: realization and totalization.

Is there a special name for homotopy limits of simplicial diagrams? In general, are there any examples in the literature where such homotopy limits are computed?

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