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arXiv · 2510.06932

Homotopy theory of simplicial parametrized operads

Gregoire Marc
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Abstract

We define a generalization of (coloured) operads based on double lax functors and we construct a model structure on the associated category of generalized simplicial (coloured) operads. In particular, we obtain a model structure on the category of simplicial (coloured) O-operads of Nardin and Shah.

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Gregoire Marc. 2025-10-08. Homotopy theory of simplicial parametrized operads. https://arxiv.org/abs/2510.06932

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