Want to take part in these discussions? Sign in if you have an account, or apply for one below
Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.
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?
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.
Indeed, I forgot to take the opposite category when I considered this possibility.
1 to 3 of 3