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math.AT2023★ 1 cited
Quasi-tame substitudes and the Grothendieck construction
Michael Batanin, Florian De Leger, David White
This paper continues the study of the homotopy theory of algebras over polynomial monads initiated by the first author and Clemens Berger. We introduce the notion of a quasi-tame p…
math.AT2023★ 1 cited
Model structures on operads and algebras from a global perspective
Michael Batanin, Florian De Leger, David White
This paper studies the homotopy theory of the Grothendieck construction using model categories and semi-model categories, provides a unifying framework for the homotopy theory of o…
math.AT2023
Triple delooping for multiplicative hyperoperads
Florian De Leger, Maroš Grego
Using techniques developed by Batanin and the first author, we extend the Turchin/Dwyer-Hess double delooping result to further iterations of the Baez-Dolan plus construction. For…