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Brandon Shapiro: Double Presheaf Categories via Polynomial Functors
Category Theory II 2.1: Limits, Higher order functors
Functor Categories
Category Theory For Beginners: Functors And The Category Of Categories
Category Theory 6.2: Functors in programming
What are...adjoint functors diagrammatically
Category Theory For Beginners: Duality And Functors
Covariant and Contravariant Functors (Category Theory)
What are natural transformations (Category Theory)
Category Theory For Beginners: Adjoint Functors
Category Theory 1.7: Horizontal Composition and 2-Categories
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Last Updated: October 30, 2026
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Summary
This lecture is part of an online course on This week, as part of Axosoft's Dev Talk series, David Koontz explains " Notes: drive.google.com/file/d/1ut3xZT2rmlcvtL9oiGSqLIv6EQ4kGUrj/view?usp=sharing I talk about Tuesday the 29th of November, part of the Virtual Double Goal. Explaining basic concepts of In this video we introduce the idea of duality, and the notion of the opposite This videos shows what natural transformations from We start with the homset based definition of an adjunction. We introduce adjoint In this video, I introduce the horizontal composition of natural transformations, the interchange rule, and the basics of ...