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varkor

@varkor@mathstodon.xyz
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Category theorist and type theorist. I make http://q.uiver.app. Rust compiler team alumnus.

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Joined October 31, 2022

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varkor
varkor @varkor@mathstodon.xyz · Apr 29, 2026
varkor
@varkor@mathstodon.xyz

Category theorist and type theorist. I make http://q.uiver.app. Rust compiler team alumnus.

mathstodon.xyz
Replying to @ohad@mathstodon.xyz
@ohad The result is far older than that. For instance, the 2-dimensional version already appears in §6.6 of Blackwell–Kelly–Power's 1989 "Two-dimensional monad theory". I don't know what the oldest reference is, but I would imagine it's been known since the 1960s.
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Open post
varkor
varkor @varkor@mathstodon.xyz · Apr 24, 2026
varkor
@varkor@mathstodon.xyz

Category theorist and type theorist. I make http://q.uiver.app. Rust compiler team alumnus.

mathstodon.xyz
Replying to @BartoszMilewski@mathstodon.xyz
@BartoszMilewski@mathstodon.xyz (Just in case it's not clear why this strict double category Grandis and Paré consider isn't appropriate in this situation, it doesn't have all companions or all conjoints, so doesn't form an equipment.)
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Open post
varkor
varkor @varkor@mathstodon.xyz · Apr 24, 2026
varkor
@varkor@mathstodon.xyz

Category theorist and type theorist. I make http://q.uiver.app. Rust compiler team alumnus.

mathstodon.xyz
Replying to @BartoszMilewski@mathstodon.xyz
@BartoszMilewski@mathstodon.xyz A quick comment: there is no double category of double categories, because distributors between double categories do not compose. (There is, however, a virtual double category of double categories.)
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Open post
varkor
varkor @varkor@mathstodon.xyz · Mar 12, 2026
varkor
@varkor@mathstodon.xyz

Category theorist and type theorist. I make http://q.uiver.app. Rust compiler team alumnus.

mathstodon.xyz

If anyone has a copy of Eilenberg's 1960 paper "Abstract description of some basic functors" (in which, along with Watts' paper, the "Eilenberg–Watts theorem" first appears) that they'd be happy to share with me, I'd be very grateful – please let me know!

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