Localizing the category of directed graphs at cubical homotopy equivalences produces an ∞-category equivalent to the ∞-category of spaces.
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2 Pith papers cite this work. Polarity classification is still indexing.
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2026 2verdicts
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Extends the dendroidal Rezk nerve to relative ∞-operads and relates it to localization to obtain new results on operadic localizations and factorization algebras.
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The discrete homotopy hypothesis for directed graphs
Localizing the category of directed graphs at cubical homotopy equivalences produces an ∞-category equivalent to the ∞-category of spaces.
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Relative dendroidal Rezk nerve and applications
Extends the dendroidal Rezk nerve to relative ∞-operads and relates it to localization to obtain new results on operadic localizations and factorization algebras.