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math.CT2020
Homotopy theory of algebras of substitudes and their localisation
Michael Batanin, David White
We study the category of algebras of substitudes (also known to be equivalent to the regular patterns of Getzler) equipped with a (semi)model structure lifted from the model struct…
math.AT2020★ 13 cited
Left Bousfield localization without left properness
David White, Michael Batanin
Given a combinatorial (semi-)model category and a set of morphisms , we establish the existence of a semi-model category satisfying the universal property of the lef…