* local presentability in formal category theory
@ 2016-02-22 23:27 Michael Shulman
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From: Michael Shulman @ 2016-02-22 23:27 UTC (permalink / raw)
To: categories
Has anyone developed a theory of "locally presentable objects" inside
a context for formal category theory, such as a Yoneda structure or a
proarrow equipment?
Hopefully such a theory would specialize both to the classical notion
of local presentability, to its enriched version (as developed by
Kelly), and to the (infinity,1)-categorical version of Lurie (e.g.
using the equipment of quasicategories constructed by Riehl and
Verity).
Mike
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