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Stream: theory: category theory

Topic: Dual notion of transfinite composition


view this post on Zulip Nathan Corbyn (Sep 20 2024 at 12:13):

Is there a name for the notion dual to transfinite composition? (That is, projective limits of co-smooth co-chains.) Are there any standard references?

view this post on Zulip Kevin Carlson (Sep 20 2024 at 15:13):

Limits of “towers” of fibrations come up in homotopy theory, though I think most often just the countable ones. Otherwise I can’t immediately think of much that’s special to these relative to arbitrary cofiltered limits.

view this post on Zulip Nathan Corbyn (Sep 20 2024 at 16:59):

Thank you Kevin!