Category Theory P75KQ2P9TK
| URI | m2://res/P75KQ2P9TK |
|---|---|
| Kind | course |
| Creators | Amit Kuber (instructor) |
| Date | 2024-07-18 |
| Scope | in |
| Ids | course 05pjsgx75:111104524 |
Expressions
e1: edition
| Language | en |
|---|---|
| Date | 2024-07-18 |
- m1: page, IIT Kanpur (record). nptel 111104524
- m2: page, 2024-07-18 (record). nptel 111104524
Contents
- part 1: Week 01
- session 1: Lecture 01: Introduction to category theory
- session 2: Lecture 02: Examples of categories
- part 2: Week 02
- session 3: Lecture 03: Functors
- session 4: Lecture 04: Natural transformations and equivalences of categories
- part 3: Week 03
- session 5: Lecture 05: Equivalence of categories and some properties of morphisms
- session 6: Lecture 06: The Yoneda lemma and Representable functors
- part 4: Week 04
- session 7: Lecture 7: Limits and colimits-I: Definitions and examples
- session 8: Lecture 8: Limits and colimits-II: Constructing new (co)limits from existing (co)limits
- part 5: Week 05
- session 9: Lecture 9: Limits and colimits-III: Interaction with functors, Adjunctions-I: Definition
- session 10: Lecture 10: Adjunctions-II: Examples
- part 6: Week 06
- session 11: Lecture 11: Adjunctions-III: Triangular Identities
- session 12: Lecture 12: Adjunctions-IV: General adjoint functor theorem
- part 7: Week 07
- session 13: Lecture 13: Adjunctions-V: Special adjoint functor theorem, Filtered Colimits-I: Basics
- session 14: Lecture 14: Filtered colimits-II: Locally finitely presentable (LFP) categories
- part 8: Week 08
- session 15: Lecture 15: Monads-I: Eilenberg-Moore and Kleisli categories
- session 16: Lecture 16: Monads-II: Monadicity theorem
- part 9: Week 09
- session 17: Lecture 17: Monoidal categories and enriched categories
- session 18: Lecture 18: Abelian categories
- part 10: Week 10
- session 19: Lecture 19: Grothendieck categories and localization
- session 20: Lecture 20: Freyd-Mitchell embedding theorem, Homological algebra I: Diagram chasing
- part 11: Week 11
- session 21: Lecture 21: Homological algebra II: Chain homotopy, projective resolutions and the derived category
- session 22: Lecture 22: Model categories
- part 12: Week 12
- session 23: Lecture 23: Topos theory I: Elementary toposes
- session 24: Lecture 24: Topos theory II: Grothendieck toposes
Catalogue records
- nptel: 111104524 (manifestation)
- nptel_video: 111104524 (manifestation)