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MTH432 Introduction to Category Theory
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SESSION 2022-23 MONSOON SEMESTER
MATHEMATICS
MTH432(2022-23)
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Find your own resources! (Assignment 1)
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Articles, Books and Other resources
Wikipedia on Category Theory
URL
Basic Category Theory
URL
Categories for the Working Mathematician
URL
Category Theory for Computing Science
URL
Category Theory for the Sciences
URL
Category Theory for Philosophers
URL
An Introduction to Category Theory by Harold Simmons
URL
Suggested by Khushi Mishra and Vyshnav PT.
PDF
Category Theory in Context by Emily Reihl
URL
Suggested by Suhrit Gorain, Gurpuneet Kaur, Sayan Mondal
PDF
Notes on Category Theory with examples from basic mathematics by Paolo Perrone
URL
Suggested by Shiva Burman
nCatLab on Category Theory
URL
Suggested by Rifat Siddique
Video of Talk by Richard Borcherds
URL
Suggested by Ananya Gaur
Notes on Category Theory by George Torres
URL
Suggested by Ananya Gaur
An Intro to the Language of Category Theory by Steven Roman
URL
Suggested by Hari Prasad Poilath
YouTube playlist of lectures on Category Theory by Bartosz Milewski :
URL
Suggested by Hari Prasad Poilath
Sets for Mathematics by Lawvere and Rosenberg
URL
Suggested by Ronald Huidrom.
Categories and Functors
Categories and Functors
Discussion Forum for Basic Definitions
Basic notions
File
159.5KB PDF document Modified 1/09/22, 12:23
Equivalences
File
176.9KB PDF document Modified 2/09/22, 10:32
Small Categories
File
157.7KB PDF document Modified 13/10/22, 21:16
Solutions to Quiz 1
File
102.4KB PDF document Uploaded 3/09/22, 11:50
Solutions to Quiz 2
File
103.3KB PDF document Uploaded 12/09/22, 23:24
Adjoint Functors and Monads
Adjoint Functors and Monads
Discussion Forum for Adjoints and Monads
Basics of Adjoint functors and examples
File
176.1KB PDF document Modified 7/09/22, 13:06
Monads and an important example
File
172.7KB PDF document Uploaded 9/09/22, 10:42
Powerset Monad and Bounded Lattices
File
120.9KB PDF document Modified 17/09/22, 21:50
The Monad for Groups
File
199.4KB PDF document Uploaded 16/09/22, 00:04
Solutions to Quiz 3
File
85.4KB PDF document Uploaded 25/09/22, 09:33
Generalised Elements
Generalised Elements
Discussion Forum for Generalised Elements
Yoneda Lemma and Generalised Elements
File
139.8KB PDF document Uploaded 25/09/22, 07:26
Monic and Epic morphisms
File
155.4KB PDF document Uploaded 29/09/22, 10:34
Solutions to Quiz 5
File
Products and Co-products
Products and Co-products
Diagrams, Products and co-products
File
167.3KB PDF document Uploaded 8/10/22, 19:15
Products/Co-products as Universal objects
File
177.1KB PDF document Uploaded 17/10/22, 13:11
Interpretation in terms of representable functors
File
154.8KB PDF document Modified 3/11/22, 19:10
Solutions to Quiz 6
File
146.4KB PDF document Uploaded 23/10/22, 17:05
Solution to Quiz 7 (Q1 in 2nd Mid-Sem)
File
132.6KB PDF document Uploaded 10/11/22, 14:46
Solutions to Quiz 8 (Q2 in 2nd Mid-Sem)
File
113.1KB PDF document Uploaded 10/11/22, 14:58
Adjoint Functor Theorem
Adjoint Functor Theorem
Notes on Adjoint Functor Theorems
File
191.3KB PDF document Uploaded 4/11/22, 11:57
"Enhance"
URL
Kevin Buzzard's notes
URL
Solution to Quiz 9
File
113.4KB PDF document Uploaded 10/11/22, 19:12
Solutions to Quiz 10
File
88.8KB PDF document Uploaded 5/12/22, 17:13
Solutions to Quiz 11
File
110KB PDF document Uploaded 5/12/22, 18:29
End-Semester Examination
End-Semester Examination
Solutions to End-Semester Examination
File
143.8KB PDF document Uploaded 9/12/22, 11:00
Topic 7
Topic 7
Topic 8
Topic 8
Topic 9
Topic 9
Topic 10
Topic 10
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