Opetopic algebras III: Presheaf models of homotopy-coherent opetopic algebras - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2020

Opetopic algebras III: Presheaf models of homotopy-coherent opetopic algebras

Abstract

For Λ the category of free opetopic algebras, we construct a model structure à la Cisinski on the category of presheaves over Λ, and show that is is equivalent to opetopic complete Segal spaces. This generalizes the results of Joyal and Tierney in the simplicial case, and of Cisinski and Moerdijk in the planar dendroidal case.
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Dates and versions

hal-02448208 , version 1 (22-01-2020)

Identifiers

  • HAL Id : hal-02448208 , version 1

Cite

Cédric Ho Thanh, Chaitanya Leena Subramaniam. Opetopic algebras III: Presheaf models of homotopy-coherent opetopic algebras. 2020. ⟨hal-02448208⟩
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