Timeline for Is the $\infty$-category of spectra “convenient”?
Current License: CC BY-SA 4.0
12 events
| when toggle format | what | by | license | comment | |
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| May 11, 2021 at 21:08 | comment | added | Sean Tilson | I thought Boardman and Vogt talked about weak Kan complexes, no? That was written before 1991. Although perhaps people don't appreciate that book. Dylan, want my netflix password? After this I would buy you a ticket to a film myself if I thought theaters were open. | |
| Feb 10, 2019 at 21:37 | history | edited | Peter May | CC BY-SA 4.0 |
Answers comments and adds a bit of math.
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| Feb 9, 2019 at 6:37 | comment | added | Dan Ramras | Actually, in the last paragraph of his 3-page paper, I see that Elmendorf says that there's a different choice for the adjoint pair $(\Omega^\infty, \Sigma^\infty)$ in which 5) holds but 3) fails. Somehow the key underlying weirdness of S-modules, I think, is that the unit for the smash product is not cofibrant. | |
| Feb 9, 2019 at 6:28 | comment | added | Harry Gindi | @DanRamras Neat, thanks! | |
| Feb 9, 2019 at 6:24 | comment | added | Dan Ramras | @HarryGindi Elemndorf wrote a paper about this: 5) fails. See books.google.com/… | |
| Feb 9, 2019 at 5:42 | comment | added | Harry Gindi | Professor May, which one of these five properties was violated by EKMM (or simplicial symmetric spectra)? Only the on-the-nose symmetry of the smash product? | |
| Feb 9, 2019 at 4:57 | comment | added | Mike Shulman | Would you say that it was known even at the time of Lewis's theorem that "there is no corresponding contradiction in the $\infty$-category world", at least in some informal sense predating formal definitions of "$\infty$-category"? Or did that realization emerge later? | |
| Feb 9, 2019 at 4:54 | history | edited | Mike Shulman | CC BY-SA 4.0 |
Change backquotes to ordinary ones (backquotes cause tt font)
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| Feb 9, 2019 at 3:34 | comment | added | Emily | Thank you very much for your illuminating answer! | |
| Feb 9, 2019 at 3:34 | vote | accept | Emily | ||
| Feb 9, 2019 at 3:25 | comment | added | Dylan Wilson | Of course I agree that $\infty$-categorical concepts differ from their point-set counterparts- and that Lewis's theorem is indeed a theorem ;) I was just answering the question that was asked! And alright, I'll get off the toy... but it's the weekend! Can I at least watch a movie or something? | |
| Feb 9, 2019 at 3:00 | history | answered | Peter May | CC BY-SA 4.0 |