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increpare's profile
increpare
increpare
increpare
@increpare

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increpare

@increpare

• Makes games • Most recent commercial game : http://store.steampowered.com/app/1127680/Hy … • 💸 http://patreon.com/increpare  | http://github.com/sponsors/increpare … :D

Berlin, Deutschland
increpare.com
Joined September 2009

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    1. John Carlos Baez‏ @johncarlosbaez 1 Aug 2019
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      The "Grothendieck construction" is a simple but wonderful trick for gluing together a bunch of categories and getting a new bigger category. My student @CreeepyJoe (who is not creepy) explains it nicely in his blog: https://joemathjoe.wordpress.com/2019/07/18/what-is-the-grothendieck-construction-like/ … (cont)

      2 replies 36 retweets 145 likes
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    2. John Carlos Baez‏ @johncarlosbaez 1 Aug 2019
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      The idea: you have a bunch of categories F(x) "indexed" by objects of some category X. Then you glue them together to get a big category called ∫F. This big category contains all the categories F(x) but also morphisms going between them! To understand, read @CreeepyJoe.pic.twitter.com/ODqDJnt0TD

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      increpare‏ @increpare 2 Aug 2019
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      Replying to @johncarlosbaez @CreeepyJoe

      I haven't tried to think about it too much, but is there a reason it uses the same notation as the notation MacLane uses for ends? (I did a quick search and didn't find an answer. Also it seems on nCatLab that people might be migrating away from this ends notstion)

      2:48 AM - 2 Aug 2019
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      • Faris Saadat 2-Joe Moeller Ben Hamilton
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        1. 2-Joe Moeller‏ @CreeepyJoe 2 Aug 2019
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          Replying to @increpare @johncarlosbaez

          It is an example of a coend.

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        1. Faris Saadat‏ @FarisYazdi 4 Aug 2019
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          Replying to @increpare @johncarlosbaez @CreeepyJoe

          One of my fav devs is reading into category theory?! What a day to be alive.

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