Dwyer–Kan homotopy theory for cyclic operads
نویسندگان
چکیده
Abstract We introduce a general definition for coloured cyclic operads over symmetric monoidal ground category, which has several appealing features. The forgetful functor from to both adjoints, each of is relatively simple. Explicit formulae these adjoints allow us lift the Cisinski–Moerdijk model structure on category enriched in simplicial sets sets.
منابع مشابه
Axiomatic homotopy theory for operads
We give sufficient conditions for the existence of a model structure on operads in an arbitrary symmetric monoidal model category. General invariance properties for homotopy algebras over operads are deduced. Mathematics Subject Classification (2000). Primary 18D50; Secondary 18G55, 55U35.
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ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 2021
ISSN: ['1464-3839', '0013-0915']
DOI: https://doi.org/10.1017/s0013091520000267