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Model structures for (∞,n)–categories on (pre)stratified simplicial sets and prestratified simplicial spaces.Algebraic and Geometric Topology, 20:1543–1600, 05 2020

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Homology of higher categories

math.AT · 2025-05-28 · unverdicted · novelty 7.0

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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  • Homology of higher categories math.AT · 2025-05-28 · unverdicted · none · ref 48

    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.