Timeline for Quotients of simplicial complexes which are simplicial complexes
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Aug 21, 2015 at 3:07 | comment | added | user2700 | @DavidWhite, even though $X$ and $Y$ can be equipped with the structure of a simplical complex, by which I mean they admit homeomorphisms with the geometric realization of some abstract simplicial complex, the maps $X \rightrightarrows Y$ are not necessarily maps of simplicial complexes a priori (i.e. they need not come from maps of abstract simplicial complexes). If you could find triangulations of X and Y such that both maps are simplicial, then the coeq as topological spaces would agree with the geometric realization of the coeq in the category of abstract simplicial complexes. | |
| Aug 20, 2015 at 16:34 | comment | added | Benjamin Steinberg | I suspect the op wants to have the colimit agree with the one in top spaces. | |
| Aug 20, 2015 at 13:01 | comment | added | David White | Doesn't the category of simplicial complexes have all small limits and colimits? Does this help? A reference is math.stackexchange.com/questions/492072/… | |
| Aug 19, 2015 at 17:29 | review | First posts | |||
| Aug 19, 2015 at 17:45 | |||||
| Aug 19, 2015 at 17:25 | history | asked | user2700 | CC BY-SA 3.0 |