Cubical models of $\infty$-presheaves and the Bousfield-Kan formula

Published 16 Nov 2025 in math.AT | (2511.12809v1)

Abstract: We construct the covariant and the cocartesian model structures on the slice categories of cubical sets and marked cubical sets, respectively. As an application, we derive a version of the Bousfield-Kan formula for arbitrary cofibrantly generated monoidal model categories satisfying Muro's axiom.

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