Timeline for What is the infinite-dimensional-manifold structure on the space of smooth paths mod thin homotopy?
Current License: CC BY-SA 3.0
9 events
when toggle format | what | by | license | comment | |
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Nov 5, 2017 at 23:56 | history | edited | David Roberts♦ | CC BY-SA 3.0 |
added 167 characters in body
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Nov 5, 2017 at 23:41 | history | edited | David Roberts♦ | CC BY-SA 3.0 |
Updated link to paper
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Mar 17, 2010 at 10:28 | history | edited | Andrew Stacey | CC BY-SA 2.5 |
Finally answered the question.
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Mar 14, 2010 at 15:26 | history | edited | Andrew Stacey | CC BY-SA 2.5 |
Added link to new nlab page
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Mar 12, 2010 at 0:42 | comment | added | David Roberts♦ | Expanding Andrew's comment above about 2-structure, one may be able to describe a Lie groupoid which presents a smooth stack of paths up to thin homotopy. I echo the above sentiment, this would be a good nlab project (not necessarily linked with mine and Andrew's) | |
Mar 11, 2010 at 22:02 | vote | accept | Theo Johnson-Freyd | ||
Mar 11, 2010 at 21:23 | comment | added | Andrew Stacey | That would be worth settling once and for all, I've wondered off-and-on about this. However, I think that that's an nlab project rather than an MO one, and I'll only start it if I know that others (you and Theo?) will join in! | |
Mar 11, 2010 at 16:58 | comment | added | Konrad Waldorf | Great answer, Andrew! But can we be more specific? Given any assumption on a possible manifold structure on $P_1(M)$ (e.g. that the projections to $M$ are submersions), can one prove that there is no such manifold structure? | |
Mar 11, 2010 at 9:02 | history | answered | Andrew Stacey | CC BY-SA 2.5 |