21 Mar 2020 |
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24 Mar 2020 |
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Tim | so there's a new zulip chat room for category theory, in case y'all haven't heard https://categorytheory.zulipchat.com/ | 23:55:30 |
Tim | i'm gonna look at setting up a bridge between that room and this, so that people don't have to move over to zulip if they still want to interact | 23:55:50 |
25 Mar 2020 |
chexxor | In reply to @thosgood:matrix.org so there's a new zulip chat room for category theory, in case y'all haven't heard https://categorytheory.zulipchat.com/ "You need an invitation to join this organization" | 00:13:49 |
Tim | huh, try following the link from https://twitter.com/julesh/status/1242141831057616896 ? | 00:14:32 |
Tim | https://twitter.com/julesh/status/1242141831057616896 | 00:14:42 |
Tim | * huh, try following the link from | 00:14:53 |
chexxor | That worked. Must be an invite code in that link. | 00:19:58 |
Tim | ah ok, good to know! | 00:20:25 |
27 Mar 2020 |
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28 Mar 2020 |
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31 Mar 2020 |
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1 Apr 2020 |
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4 Apr 2020 |
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17 Apr 2020 |
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4 May 2020 |
Joel Sjögren | Given a general endo-adjunction f \dashv g determine the pairs of composition strings A = ffgfg... and B=fgggfg... for which one may find morphisms A\to B . | 13:12:25 |
Joel Sjögren | Put differently, how would you determine, given strings A and B , whether such a morphism can be derived from the axioms of an adjunction? | 13:14:05 |
Joel Sjögren | One may also ask whether such a morphism is necessarily unique, so that the category of all possible strings would be a partial order, and then whether this partial order is a coproduct of linear orders. | 13:43:20 |
Joel Sjögren | e.g. f\to fgf\to f is f\to f by the co/unit definition of adjunction, so uniqueness isn't violated here. | 13:46:33 |
Joel Sjögren | but I suppose in the opposite direction fgf\to f \to fgf uniqueness is violated... | 13:47:31 |
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Tim | huh | 21:10:47 |