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arXiv · 1503.06977

Truncated operads and simplicial spaces

Michael S. Weiss
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Abstract

It was shown in a recent paper by Boavida de Brito and Weiss that a well-known construction which to a plain (=monochromatic) topological operad associates a topological category and a functor from it to the category of finite sets is homotopically fully faithful, under mild conditions on the operads. The main result here is a generalization of that statement to k-truncated plain topological operads. A k-truncated operad is a weaker version of operad where all operations have arity at most k.

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Michael S. Weiss. 2018-01-10. Truncated operads and simplicial spaces. https://doi.org/10.2140/tunis.2019.1.109

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