New answers tagged simplicial-stuff
2
votes
Accepted
Simplicial nerve of a topological group
This is an answer to the edited question.
First, observe that the composition of functors $\def\N{{\rm N}}\def\Sing{{\rm Sing}}\N∘\Sing$ in the main post computes
the homotopy colimit of the ...
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3
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Simplicial nerve of a topological group
Konrad Waldorf answers this question in his comment, but I didn't want the question to linger in the "unanswered" queue, so here's a CW answer consisting of a page of Segal's 1968 paper that ...
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Is there an analog of Kan's $Ex^\infty$ functor for quasicategories?
$\def\Cnec{{\frak C}^{\rm nec}}
\def\Exi{{\rm Ex}^∞}
\def\N{{\rm N}}
\def\sCat{{\sf sCat}}
\def\sSet{{\sf sSet}_{\sf Joyal}}$
As indicated in the answer A combinatorial approximation functor sSet->...
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2
votes
Accepted
What is the name for the construction of this poset related to coherence of degeneracies of the simplex category?
Here’s one way to see it, if I’m not misunderstanding your definition.
For a small category $\newcommand{\C}{\mathbf{C}}\C$, take its categorical nerve $\newcommand{\N}{\mathbf{N}}\N\C$ to be the ...
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