Difference between revisions of "Compatibility"
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In [[Jeremy Mann]]'s lecture on [[Intro to Category Theory|Intro to Category Theory]] series<ref>{{:Video/Intro to Category Theory I: the Data of a Category}}</ref><ref>{{:Video/Intro to Category Theory II: Elementary Examples}}</ref><ref>{{:Video/Intro to Category Theory III: More Mathematical Examples}}</ref><ref name="equivalence">{{:Video/Intro to Category Theory IV: A Notion of Equivalence}}</ref>, the notion of [[compatibility]] | In [[Jeremy Mann]]'s lecture on [[Intro to Category Theory|Intro to Category Theory]] series<ref>{{:Video/Intro to Category Theory I: the Data of a Category}}</ref><ref>{{:Video/Intro to Category Theory II: Elementary Examples}}</ref><ref>{{:Video/Intro to Category Theory III: More Mathematical Examples}}</ref><ref name="equivalence">{{:Video/Intro to Category Theory IV: A Notion of Equivalence}}</ref>, the notion of [[compatibility]] is presented in a systematic and generalizable sense. It requires the audience to watch the full sequence to see why [[compatibility]] is such a useful concept in understanding [[Category Theory]]. It can be understood as a kind of [[type identity]]. In other words, [[compatibility]] is a loose kind of [[equivalence]]<ref name="equivalence" /> property. | ||
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Latest revision as of 03:56, 27 March 2022
In Jeremy Mann's lecture on Intro to Category Theory series[1][2][3][4], the notion of compatibility is presented in a systematic and generalizable sense. It requires the audience to watch the full sequence to see why compatibility is such a useful concept in understanding Category Theory. It can be understood as a kind of type identity. In other words, compatibility is a loose kind of equivalence[4] property.
References
- ↑ Mann, Jeremy (Jun 25, 2020). Intro to Category Theory I: the Data of a Category. local page: Jeremy Mann.
- ↑ Mann, Jeremy (July 10, 2020). Intro to Category Theory II: Elementary Examples. local page: Jeremy Mann.
- ↑ Mann, Jeremy (Sep 5, 2020). Intro to Category Theory III: More Mathematical Examples. local page: Jeremy Mann.
- ↑ 4.0 4.1 Mann, Jeremy (Sep 21, 2020). Intro to Category Theory IV: A Notion of Equivalence. local page: Jeremy Mann.