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Derived mapping spaces of $\infty$-categories

math.AT · 2025-09-12 · accept · novelty 5.0

A Derived Mapping Space Lemma gives a unified way to compute mapping spaces in localizations, and yields criteria for cubical and simplicial categories to be localizations of their underlying categories at homotopy equivalences.

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  • Derived mapping spaces of $\infty$-categories math.AT · 2025-09-12 · accept · none · ref 2008

    A Derived Mapping Space Lemma gives a unified way to compute mapping spaces in localizations, and yields criteria for cubical and simplicial categories to be localizations of their underlying categories at homotopy equivalences.