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Timeline for Loop space of a category

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Dec 24, 2012 at 14:28 comment added Mike Shulman Computing pushouts of categories is not what I would call "easy"; that's where the zigzags are going to come in.
Dec 6, 2012 at 7:21 comment added Ilias A. I put the construction of $C[C^{-1}]$, it does not require zig-zags and it conceptually very easy. I agree that the constructed $\Lambda C$ is not very concrete but still you have a general model for the cotensorisation functor in $Cat$ (with Thomason model structure) by $\sSet$.
Dec 6, 2012 at 7:16 history edited Ilias A. CC BY-SA 3.0
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Dec 6, 2012 at 1:38 comment added Mike Shulman But the construction of $C[C^{-1}]$ seems to be where a lot of the meat lies... that's where there'll be zigzags and stuff. Also, this is not really concrete enough for what I want; too many geometric realizations and coherent nerves of very large categories.
Dec 5, 2012 at 14:11 history answered Ilias A. CC BY-SA 3.0