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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.

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Example of a non-$\infty$-category whose homotopy category is a groupoid

What is an example of a simplicial set $S$ such that its homotopy category $hS$ is a groupoid, but such that $S$ is not an $\infty$-category? I know that if $S$ is an $\infty$-category, then $S$ is a …
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