Timeline for Simplicial objects
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 8, 2021 at 22:10 | comment | added | Student | @ReidBarton Nice! But why do (co)monads show up so often? And are there some well-known (co)simplicial objects that do no arise this way? Related. | |
| Oct 17, 2009 at 16:46 | vote | accept | Kevin H. Lin | ||
| Oct 16, 2009 at 6:33 | comment | added | Reid Barton | I just wanted to call attention to the excellent point that from the point of view of homotopy theory, the category Delta is not really special. However, in "nature" (the rest of mathematics), we find that (co)simplicial objects arise very often. This is due to the relation between Delta and monads. Given an object X of some category C and a monad U on C, if you write down all the objects and maps you can in terms of X and U, what you get is precisely a cosimplicial object of C with a map from the constant object X. | |
| Oct 16, 2009 at 2:35 | history | edited | Andreas Holmstrom | CC BY-SA 2.5 |
added 138 characters in body
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| Oct 16, 2009 at 2:28 | history | answered | Andreas Holmstrom | CC BY-SA 2.5 |