论文标题

opetopic代数III:同型联合opetopic代数的预毛模型

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

论文作者

Thanh, Cédric Ho, Subramaniam, Chaitanya Leena

论文摘要

对于$λ$,我们在$λ$上面的预示例类别上构建了一个模型结构\ emph {àla cisinski}类别,并显示与Opetopic完整的Segal Segal空间相当。这概括了在简单情况下Joyal和Tierney的结果,以及在平面树状病例中的Cisinski和Moerdijk的结果。

For $Λ$ the category of free opetopic algebras, we construct a model structure \emph{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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