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math.AT2024
Homotopical recognition of diagram categories
Boris Chorny, David White
Building on work of Marta Bunge in the one-categorical case, we characterize when a given model category is Quillen equivalent to a presheaf category with the projective model stru…
math.AT2024
On Colimits and Model Structures in Various Categories of Manifolds
David White
After explaining the importance of model categories in abstract homotopy theory, we provide concrete examples demonstrating that various categories of manifolds do not have all fin…