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Category Theory

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Enriched categories, topoi, abelian categories, monoidal categories, homological algebra || part of the +mathematics:matrix.org community45 Servers

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21 Mar 2020
@tiredthinker:matrix.orgtiredthinker left the room.07:01:24
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24 Mar 2020
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@thosgood:matrix.orgTimso there's a new zulip chat room for category theory, in case y'all haven't heard https://categorytheory.zulipchat.com/23:55:30
@thosgood:matrix.orgTimi'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 interact23:55:50
25 Mar 2020
@chexxor:matrix.orgchexxor
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
@thosgood:matrix.orgTim huh, try following the link from https://twitter.com/julesh/status/1242141831057616896 ? 00:14:32
@thosgood:matrix.orgTimhttps://twitter.com/julesh/status/124214183105761689600:14:42
@thosgood:matrix.orgTim * huh, try following the link from00:14:53
@chexxor:matrix.orgchexxorThat worked. Must be an invite code in that link.00:19:58
@thosgood:matrix.orgTimah ok, good to know!00:20:25
27 Mar 2020
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28 Mar 2020
@storm89161:feneas.orgmidi[F] invited @storm89161:privacytools.iomidi[P].13:24:44
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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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6 Apr 2020
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17 Apr 2020
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4 May 2020
@joel135:matrix.orgJoel 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
@joel135:matrix.orgJoel 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
@joel135:matrix.orgJoel 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
@joel135:matrix.orgJoel 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
@joel135:matrix.orgJoel Sjögren but I suppose in the opposite direction fgf\to f \to fgf uniqueness is violated... 13:47:31
@enderdzz:matrix.orgenderdzz joined the room.16:45:50
@thosgood:matrix.orgTimhuh21:10:47

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