Timeline for Timeline of "foundational" advances in homotopy theory?
Current License: CC BY-SA 4.0
15 events
| when toggle format | what | by | license | comment | |
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| Jun 19, 2022 at 15:27 | comment | added | Dmitri Pavlov | @AlexanderCampbell: This was pointed out by David Roberts: mathoverflow.net/questions/115549/… | |
| Jun 19, 2022 at 8:22 | comment | added | Alexander Campbell | Why do you date the Joyal model structure to the 1980s? | |
| Jun 19, 2022 at 8:12 | history | edited | Matthieu Romagny | CC BY-SA 4.0 |
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| Jun 17, 2022 at 23:46 | comment | added | Steve Costenoble | @DavidWhite The closest reference I found was Peter May's chapter in I.M. James' History of Topology, but I just skimmed it before writing my comment (and don't have it in front of me at the moment). | |
| Jun 17, 2022 at 22:10 | comment | added | Dylan Wilson | surely Pontryagin and Thom deserve shoutouts | |
| Jun 17, 2022 at 21:45 | history | made wiki | Post Made Community Wiki by S. Carnahan♦ | ||
| Jun 17, 2022 at 19:38 | comment | added | David White | @SteveCostenoble That's a very good point, and I'm ashamed to admit I don't know where that realization first occurred. Do you know a reference? Maybe Adams? Also, I note that Dmitri has now edited his answer to include a bunch of the things from my answer [remainder of comment removed by moderator] | |
| Jun 17, 2022 at 17:17 | comment | added | Steve Costenoble | I don't know the complete history, and I gather it's complicated, but I would add something about the recognition (around 1960?) of extraordinary or generalized (co)homology theories, as well as the realization that they are represented by and essentially equivalent to spectra, helping to solidify the importance of stable homotopy. | |
| Jun 17, 2022 at 15:58 | comment | added | Dmitri Pavlov | @user234212323: Added a paragraph about Grothendieck's work and a few other items. | |
| Jun 17, 2022 at 15:58 | history | edited | Dmitri Pavlov | CC BY-SA 4.0 |
added 995 characters in body
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| Jun 17, 2022 at 2:52 | comment | added | Noah Snyder | Oh wow, I would not have guessed the right decade for Boardman-Vogt. | |
| Jun 17, 2022 at 2:43 | comment | added | user234212323 | Many thanks for your answer, but (for completeness) I recommend you to include "Pursuing stacks" where (among many other things) started higher categories (the homotopy hypothesis)... | |
| Jun 17, 2022 at 2:06 | comment | added | Timothy Chow | Wow, thanks! I've added links for the past 50 years. If there are better links, please edit accordingly. | |
| Jun 17, 2022 at 2:05 | history | edited | Timothy Chow | CC BY-SA 4.0 |
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| Jun 16, 2022 at 22:57 | history | answered | Dmitri Pavlov | CC BY-SA 4.0 |