Timeline for Does Dyer's Thesis prove that the sheaf/fibration equivalence fails in dimension n>2?
Current License: CC BY-SA 3.0
15 events
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| Aug 7, 2017 at 11:37 | comment | added | Harry Gindi | I'm aware of it, but it doesn't prove the equivalencr with fibrations. I am interested in this as a stepping stone to something better, and we want that theorem to work. | |
| Aug 7, 2017 at 6:36 | comment | added | Alexander Campbell | You may be interested in Section 4.1 of Michael Warren's PhD thesis, where a Grothendieck construction for strict $\omega$-categories is defined. | |
| Aug 7, 2017 at 3:16 | vote | accept | Harry Gindi | ||
| Aug 6, 2017 at 22:51 | answer | added | Mike Shulman | timeline score: 9 | |
| Aug 6, 2017 at 16:35 | comment | added | Harry Gindi | Maybe another route is to see if there's a missing condition on the functor into omega-categories, perhaps requiring projective cofibrancy wrt the folk model structure on strict omega-categories (which would make sense especially since we want the oplax colimit functor to descend to a homotopy oplax colimit on the homotopy omega-categories). | |
| Aug 6, 2017 at 11:30 | history | edited | Harry Gindi | CC BY-SA 3.0 |
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| Aug 6, 2017 at 11:28 | comment | added | Harry Gindi | Sorry for repeatedly bumping, MO. I'm a little rusty at posting here, and I don't think there's a way to make a non-bumping edit. I just found another typo. Sorry again =\ | |
| Aug 6, 2017 at 11:25 | comment | added | David Roberts♦ | No worries! :-) | |
| Aug 6, 2017 at 11:24 | comment | added | Harry Gindi | Changed the link out to yours. Thanks David. | |
| Aug 6, 2017 at 11:24 | history | edited | Harry Gindi | CC BY-SA 3.0 |
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| Aug 6, 2017 at 11:21 | comment | added | David Roberts♦ | Even better is a human-readable reference and a non-pdf landing page: Dyer, Scott W., "The Strict Higher Grothendieck Integral" (2015). Dissertations, Theses, and Student Research Papers in Mathematics. 67. digitalcommons.unl.edu/mathstudent/67 | |
| Aug 6, 2017 at 11:10 | comment | added | Harry Gindi | I did skim the section where he discusses fibrations in passing. What looked strange to me was that his higher dimensional lifts did not look like modification cylinders but instead looked looked like smushed-at-one-end versions. | |
| Aug 6, 2017 at 11:07 | history | edited | Harry Gindi | CC BY-SA 3.0 |
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| Aug 6, 2017 at 10:59 | history | edited | Harry Gindi | CC BY-SA 3.0 |
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| Aug 6, 2017 at 10:53 | history | asked | Harry Gindi | CC BY-SA 3.0 |