Timeline for What parts of the theory of quasicategories have been simplified since the publication of HTT?
Current License: CC BY-SA 4.0
6 events
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Oct 31, 2022 at 13:29 | comment | added | daniel gratzer | To follow up on this @TimCampion's earlier comment, Cisinski and Nguyen have released their fully quasi-categorical proof of straightening-unstraightening: arxiv.org/abs/2210.08945 | |
Dec 20, 2021 at 15:23 | comment | added | Vanni | There is also this new proof of the straightening equivalence by Hebestreit, Heuts and Ruit which is much shorter than the one in HTT. | |
Feb 10, 2021 at 18:46 | comment | added | Tim Campion | I'll also point to a great simplification (at least for many purposes) which Rune Haugseng and Dylan Wilson pointed out to me of the technique developed in 4.2.3.10 of HTT for decomposing (co)limit diagrams. | |
Feb 10, 2021 at 18:42 | comment | added | Tim Campion | I hope people will keep adding things, but one thing to mention is that Cisinki and Nguyen (perhaps still in progress? see his thesis and this) have made progress on simplifying the straightening-unstraightening construction, with the goal of performing it "internally" to the quasicategory model rather than passing back and forth with simplicial categories. | |
Sep 24, 2018 at 4:24 | history | edited | Tim Campion | CC BY-SA 4.0 |
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Sep 24, 2018 at 1:22 | history | answered | Tim Campion | CC BY-SA 4.0 |