Publication details

Accessible infinity-cosmoi

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BOURKE John Denis LACK Stephen

Year of publication 2023
Type Article in Periodical
Magazine / Source Journal of Pure and Applied Algebra
MU Faculty or unit

Faculty of Science

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Keywords Higher category; accessible category
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Description We introduce the notion of an accessible infinity-cosmos and prove that these include the basic examples of infinity-cosmoi and are stable under the main constructions. A consequence is that the vast majority of known examples of infinity-cosmoi are accessible. By the adjoint functor theorem for homotopically enriched categories which we proved in an earlier paper, joint with Lukas Vokrinek, it follows, for instance, that all such infinity-cosmoi have flexibly weighted homotopy colimits.
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