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math.AT2024
Constructing monads from cubical diagrams and homotopy colimits
Kristine Bauer, Robyn Brooks, Kathryn Hess +3
This paper is the first step in a general program for defining cocalculus towers of functors via sequences of compatible monads. Goodwillie's calculus of homotopy functors inspired…
math.AT2023
Cell decompositions of persistent minimal models
Kathryn Hess, Samuel Lavenir, Kelly Maggs
In this article we generalize the main structure theorems of rational homotopy theory to the persistent setting. Our main motivation is the computation of an explicit finite, cellu…