Lecture 17 of 24Week 09
Lecture 17: Monoidal categories and enriched categories
Prof. Amit Kuber · IIT Kanpur
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- Category Theory, IIT Kanpur (at NPTEL)
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All the lectures
- Lecture 01: Introduction to category theory
- Lecture 02: Examples of categories
- Lecture 03: Functors
- Lecture 04: Natural transformations and equivalences of categories
- Lecture 05: Equivalence of categories and some properties of morphisms
- Lecture 06: The Yoneda lemma and Representable functors
- Lecture 7: Limits and colimits-I: Definitions and examples
- Lecture 8: Limits and colimits-II: Constructing new (co)limits from existing (co)limits
- Lecture 9: Limits and colimits-III: Interaction with functors, Adjunctions-I: Definition
- Lecture 10: Adjunctions-II: Examples
- Lecture 11: Adjunctions-III: Triangular Identities
- Lecture 12: Adjunctions-IV: General adjoint functor theorem
- Lecture 13: Adjunctions-V: Special adjoint functor theorem, Filtered Colimits-I: Basics
- Lecture 14: Filtered colimits-II: Locally finitely presentable (LFP) categories
- Lecture 15: Monads-I: Eilenberg-Moore and Kleisli categories
- Lecture 16: Monads-II: Monadicity theorem
- Lecture 17: Monoidal categories and enriched categories
- Lecture 18: Abelian categories
- Lecture 19: Grothendieck categories and localization
- Lecture 20: Freyd-Mitchell embedding theorem, Homological algebra I: Diagram chasing
- Lecture 21: Homological algebra II: Chain homotopy, projective resolutions and the derived category
- Lecture 22: Model categories
- Lecture 23: Topos theory I: Elementary toposes
- Lecture 24: Topos theory II: Grothendieck toposes