Difference between revisions of "Kan Extensions"
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On page 248 of [[Categories for the Working Mathematician]]<ref>{{:Book/Categories for the Working Mathematician}}, 248</ref>, [[Saunders Mac Lane]] stated: | On page 248 of [[Categories for the Working Mathematician]]<ref>{{:Book/Categories for the Working Mathematician}}, 248</ref>, [[Saunders Mac Lane]] stated: | ||
The notion of Kan extensions subsumes all the other fundamental concepts of category theory. | The notion of Kan extensions subsumes all the other fundamental concepts of category theory. | ||
=Kan Extensions are partial colimits= | |||
[[Paolo Perrone]] has a few talks on explaining [[Kan Extensions]] as partial [[colimit]]s. | |||
{{#ask: [[Presented by::Paolo Perrone]] | |||
|format=table | |||
|mainLabel=Content Link | |||
}} | |||
=References= | =References= | ||
<references/> | <references/> |
Revision as of 13:02, 24 March 2022
On page 248 of Categories for the Working Mathematician[1], Saunders Mac Lane stated:
The notion of Kan extensions subsumes all the other fundamental concepts of category theory.
Kan Extensions are partial colimits
Paolo Perrone has a few talks on explaining Kan Extensions as partial colimits.
Content Link |
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Video/Kan extensions are partial colimits, Paolo Perrone, 11/02/2021 |
Video/Paolo Perrone: Kan extensions are partial colimits |
Video/Perrone - Kan extensions are partial colimits |
References
- ↑ Mac Lane, Saunders (1998). Categories for the Working Mathematician. Graduate Texts in Mathematics. 5 (2nd ed.). local page: Springer-Verlag. ISBN 0-387-98403-8. Zbl 0906.18001. , 248