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Stream: theory: category theory

Topic: literature citation for pentagon in categories with products


view this post on Zulip Todd Trimble (Mar 21 2022 at 13:39):

A friend of mine wants to know where it is explicitly written out that the Stasheff pentagon commutes in any category with finite cartesian products. Surely this appears in the literature or in a textbook somewhere. Can anyone give a pointer? (I'm not looking for someone to give the proof; just a citation, please.)

view this post on Zulip Reid Barton (Mar 21 2022 at 13:46):

Well, there is a half-sentence summary of the proof in CWM (VII.1)

view this post on Zulip Reid Barton (Mar 21 2022 at 13:46):

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view this post on Zulip Todd Trimble (Mar 21 2022 at 13:48):

Thanks, Reid. I'll touch base with my friend to see if this is sufficient for him. (My spidey sense is that he wants to locate something less breezy and more pedagogical.)