Timeline for Historical question about simplicial sets
Current License: CC BY-SA 4.0
12 events
| when toggle format | what | by | license | comment | |
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| Dec 18, 2022 at 17:58 | history | edited | YCor | CC BY-SA 4.0 |
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| Feb 25, 2011 at 3:20 | answer | added | Matthew Ando | timeline score: 11 | |
| Feb 25, 2011 at 2:28 | answer | added | Steve Lack | timeline score: 7 | |
| Feb 25, 2011 at 1:11 | comment | added | David Carchedi | @David: I think you're talking about is when $\Delta$ includes the empty set. This is slightly different. | |
| Feb 25, 2011 at 1:01 | comment | added | David Roberts♦ | Page 180 in CWM tells us several 'protean aspects' of $\Delta$, one of which is that it is the strict monoidal category containing the universal monoid, so perhaps this fact is from the coherence papers of MacLane and Kelly. | |
| Feb 25, 2011 at 0:56 | comment | added | David Roberts♦ | Ah, I've found it. $\Delta$ is the free monoidal category on a monoid. It's here: math.ucr.edu/home/baez/week117.html which is from 1998. It may appear earlier in a 1995 paper by Street, "Higher categories, strings, cubes and simplex equations", but I'm sure it's much older. I wouldn't be surprised if it was in CWM. | |
| Feb 25, 2011 at 0:49 | comment | added | David Carchedi | Thanks Harry. Can anyone confirm, was it Kan? Anyone have a reference? I am just curious. Thank you. | |
| Feb 25, 2011 at 0:49 | comment | added | David Roberts♦ | I think the observation that $\Delta$ plays a special role among categories is much older than Weber. I remember reading it in an old copy of Baez's This Week's Finds. It was a 'walking something', meaning it carried some structure or property and that was all - the minimal such category with that structure/property (initial in some way). | |
| Feb 25, 2011 at 0:25 | comment | added | Harry Gindi | Boardman and Vogt were the first to discover quasicategories, which they called Weak Kan complexes. However, I think that the original observation that you reference is due either to Boardman and Vogt, Dan Kan, or Eilenberg and Mac Lane. However, I'm inclined to believe that it is due to Dan Kan. | |
| Feb 25, 2011 at 0:21 | history | edited | Harry Gindi | CC BY-SA 2.5 |
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| Feb 24, 2011 at 23:44 | history | edited | François G. Dorais |
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| Feb 24, 2011 at 23:25 | history | asked | David Carchedi | CC BY-SA 2.5 |