Difference between revisions of "Kan extension"

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A Kan extension is a mathematical object<ref>{{:Thesis/All Concepts are Kan extensions}}</ref> that can be used to represent [[Concept|concepts]] or [[Idea|ideas]].
#REDIRECT [[Kan Extensions]]
 
=Left and Right Kan Extensions=
There are two kinds of Kan Extensions, left and right. They may be compared to the notion of horizontal and vertical composition in [[Category Theory]].
 
=Left and Right Adjoint=
Left and Right Kan Extensions can be thought of as Left and Right [[Adjoint Functors]] when the target is mapped by an [[Identity Functor]].
 
==List of Videos==
* [[Video/Kan Lifts and Kan Extensions, part 1|Kan Lifts and Kan Extensions, Part 1]]
* [[Video/Kan Extensions and Kan Lifts, Part 2|Kan Extensions and Kan Lifts, Part 2]]
* [[Video/Kan Extensions|Kan Extensions by  MathProofsable]]
* [[Video/Category Theory For Beginners: Kan Extensions|Category Theory For Beginners: Kan Extensions]]
 
<noinclude>
=References=
 
[[Category:Kan extension]]
[[Category:Adjoint Functors]]
</noinclude>

Latest revision as of 13:09, 24 March 2022

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