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MTH432 Introduction to Category Theory
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SESSION 2022-23 MONSOON SEMESTER
MATHEMATICS
MTH432(2022-23)
Categories and Functors
Equivalences
Equivalences
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◄ Basic notions
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Find your own resources! (Assignment 1)
Project ideas
Wikipedia on Category Theory
Basic Category Theory
Categories for the Working Mathematician
Category Theory for Computing Science
Category Theory for the Sciences
Category Theory for Philosophers
An Introduction to Category Theory by Harold Simmons
Category Theory in Context by Emily Reihl
Notes on Category Theory with examples from basic mathematics by Paolo Perrone
nCatLab on Category Theory
Video of Talk by Richard Borcherds
Notes on Category Theory by George Torres
An Intro to the Language of Category Theory by Steven Roman
YouTube playlist of lectures on Category Theory by Bartosz Milewski :
Sets for Mathematics by Lawvere and Rosenberg
Discussion Forum for Basic Definitions
Basic notions
Small Categories
Solutions to Quiz 1
Solutions to Quiz 2
Discussion Forum for Adjoints and Monads
Basics of Adjoint functors and examples
Monads and an important example
Powerset Monad and Bounded Lattices
The Monad for Groups
Solutions to Quiz 3
Discussion Forum for Generalised Elements
Yoneda Lemma and Generalised Elements
Monic and Epic morphisms
Solutions to Quiz 5
Diagrams, Products and co-products
Products/Co-products as Universal objects
Interpretation in terms of representable functors
Solutions to Quiz 6
Solution to Quiz 7 (Q1 in 2nd Mid-Sem)
Solutions to Quiz 8 (Q2 in 2nd Mid-Sem)
Notes on Adjoint Functor Theorems
"Enhance"
Kevin Buzzard's notes
Solution to Quiz 9
Solutions to Quiz 10
Solutions to Quiz 11
Solutions to End-Semester Examination
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