Inverting operations in operads
We construct a localization for operads with respect to one-ary operations based on the Dwyer-Kan hammock localization [2]. For an operad O and a submonoid of one-ary operations W we associate an operad LO and a canonical map O → LO which takes elements in W to homotopy invertible operations. Furthe...
| Main Authors: | , , , , |
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| Format: | Journal article |
| Published: |
Elsevier
2017
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| Summary: | We construct a localization for operads with respect to one-ary operations based on the Dwyer-Kan hammock localization [2]. For an operad O and a submonoid of one-ary operations W we associate an operad LO and a canonical map O → LO which takes elements in W to homotopy invertible operations. Furthermore, we give a functor from the category of O-algebras to the category of LO-algebras satisfying an appropriate universal property. |
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