Timeline for Closure of the homotopy relation for a simplicial set
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| S Sep 8, 2014 at 12:18 | history | suggested | Roman Bruckner | CC BY-SA 3.0 |
Fixed broken math
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| Sep 8, 2014 at 12:11 | review | Suggested edits | |||
| S Sep 8, 2014 at 12:18 | |||||
| Jun 27, 2010 at 20:42 | comment | added | Tom Goodwillie | I mean, making a commutative triangle with the given functors {usual weak homotopy cat} <-- simplicial sets --> your homotopy cat | |
| Jun 27, 2010 at 20:41 | comment | added | Tom Goodwillie | Yes. More than that: I want to say that when you ask if the two categories are the same, you must really be asking if they are isomorphic (or perhaps equivalent as categories?). But since they have the same objects, it would be pretty weird if this were true other than by an isomorphism which is the identity on objects. If there were an obvious functor between them which was the identity on objects, then this would be a more reasonable question would be 'is it an isomorphism?'; but I pointed out that there is no functor in either direction making a commutative triangle. | |
| Jun 27, 2010 at 18:18 | vote | accept | roger123 | ||
| Jun 27, 2010 at 1:27 | answer | added | Tom Goodwillie | timeline score: 6 | |
| Jun 26, 2010 at 18:58 | history | asked | roger123 | CC BY-SA 2.5 |