Difference between revisions of "Kan extension"
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=Left and Right 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]]. | 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]]. | ||
==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> | <noinclude> | ||
Revision as of 03:37, 4 September 2021
A Kan extension is a mathematical object[1] that can be used to represent concepts or ideas.
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.
List of Videos
- Kan Lifts and Kan Extensions, Part 1
- Kan Extensions and Kan Lifts, Part 2
- Kan Extensions by MathProofsable
- Category Theory For Beginners: Kan Extensions
References
- ↑ Lehner, Marina (2014). "All Concepts are Kan Extensions":Kan Extensions as the Most Universal of the Universal Constructions (PDF) (Bachelor). local page: Harvard College. Retrieved June 28, 2021.