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For questions about simplicial sets, simplicial (co)algebras and simplicial objects in other categories; geometric realization, Dold-Kan correspondence, simplicial resolutions etc.
5
votes
Accepted
What is the precise relationship between "prodsimplicial sets" and rooted trees?
There are a short list of operations described as generating the desired polyhedra:
$ X : \mathrm{Prism} \vdash C X : \mathrm{Prism} $
$ l : \mathrm{list}\ \mathrm{Prism} \vdash \Pi l : \mathrm{ …
0
votes
A canonical and categorical construction for geometric realization
I'd just like to point out that there is a monad on $Top$, (which in the homotopy category looks rather dull,) assigning to each space $X$ its cone $CX$, the mapping cylinder of $X\to * $. The unit m …