Timeline for Loop space of a category
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4 events
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Nov 27, 2012 at 5:49 | comment | added | Mike Shulman | Thanks, though. Maybe if I could get a copy of his thesis, it would be in there. | |
Nov 27, 2012 at 5:49 | comment | added | Mike Shulman | It certainly has a likely-looking definition of $\Lambda C$, but I can't find in it a statement of the theorem I want. He asserts that the homotopy groups of $\Lambda C$ are isomorphic to those of the nerve of $C$ (referring to his thesis, which is apparently not available online, for the proofs). But I don't see the stronger statement I want, that the nerve of $\Lambda C$ is weak homotopy equivalent to the loop space of the nerve of $C$. | |
Nov 26, 2012 at 23:35 | history | edited | David Roberts♦ | CC BY-SA 3.0 |
Link to Numdam
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Nov 26, 2012 at 18:30 | history | answered | Karol Szumiło | CC BY-SA 3.0 |