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Vers une interprétation galoisienne de la théorie de l'homotopie
| Content Provider | Semantic Scholar |
|---|---|
| Author | Toën, Bertrand |
| Copyright Year | 2002 |
| Abstract | Given any CW complex X, and x ∈ X, it is well known that π 1 (X,x) ≅ Aut(ω x 0), where ω x 0 is the functor which associates to each locally constant sheaf on X its fibre at x. The purpose of the present work is to generalize this formula to higher homotopy. For this we introduce the 1-Segal category of locally constant (∞-)stacks on X, and we prove that the H ∞ -space of endomorphisms of its fibre functor at x is equivalent to the loop space Ω x X. |
| Starting Page | 257 |
| Ending Page | 312 |
| Page Count | 56 |
| File Format | PDF HTM / HTML |
| Volume Number | 43 |
| Alternate Webpage(s) | https://perso.math.univ-toulouse.fr/btoen/files/2012/04/Galhom.pdf |
| Alternate Webpage(s) | http://www.numdam.org/article/CTGDC_2002__43_4_257_0.pdf |
| Alternate Webpage(s) | http://archive.numdam.org/article/CTGDC_2002__43_4_257_0.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
