Difference between revisions of "Kan Extensions"
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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= | =Kan Extensions are partial colimits= | ||
[[Paolo Perrone]] has a few talks on explaining [[Kan Extensions]] as partial [[colimit]]s. | [[Paolo Perrone]] has a few talks on explaining [[Kan Extensions]] as partial [[colimit]]s<ref>{{:Video/Kan extensions are partial colimits, Paolo Perrone, 11/02/2021</ref><ref>{{:Video/Perrone - Kan extensions are partial colimits}}</ref><ref>{{:Video/Paolo Perrone: Kan extensions are partial colimits}}</ref>. | ||
{{#ask: [[Presented by::Paolo Perrone]] | {{#ask: [[Presented by::Paolo Perrone]] | ||
|format=table | |format=table | ||
Revision as of 13:08, 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[2][3][4].
| 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
- ↑ {{:Video/Kan extensions are partial colimits, Paolo Perrone, 11/02/2021
- ↑ Perrone, Paolo (Feb 28, 2022). Perrone - Kan extensions are partial colimits. local page: Category Theory CT20->21.
- ↑ Perrone, Paolo (Jun 12, 2020). Paolo Perrone: Kan extensions are partial colimits. local page: Topos Institute.