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The complicial model of (infty,ω)-categories
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The complicial model of (infty,ω)-categories
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In this text, we show that Verity $n$-complicial sets are a model of (non-complete) $(\infty,n)$-categories.
Forward citations
Cited by 3 Pith papers
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Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories
Homotopy posets assemble into an oriented long exact sequence analogue and form layers of a categorical Postnikov tower, with Postnikov-complete (∞,∞)-categories identified as the limit of (∞,n)-categories along trunc...
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An Oriented Street--Roberts Conjecture
Proves an oriented Street-Roberts conjecture by presenting (∞,∞)-categories as sheaves on families of oriented polytopes, generalizing Campion's work.
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Homology of higher categories
Defines categorical homology via an Eilenberg-Steenrod analogue, proves a Dold-Kan correspondence using the Street nerve, and derives a Dold-Thom theorem for multiplicative structure and globe computations.
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