Introduction to Category Theory

15-20 August 2022

Title of the course: Introduction to Category Theory
Instructor: Dr. Matteo Paganin
Institution: Sabancı Ü.
Dates: 15-20 August 2022
Prerequisites: Some linear algebra or group theory, some topology, the more the better, to have examples
Level: Advance undergraduate, graduate
Abstract: In this course we plan to give definitions, (plenty of) examples, and basic properties of categories, morphisms, isomorphisms, monomorphisms and epimorphisms, initial, terminal, and zero objects, functors, morphisms of functors, representable functors, and adjoints. The final aim of the course is to show how most of the common constructions in Mathematics can be described with a common language, turning out to be so called adjoints.
Language: EN
Textbook: Lecture notes will be provided in pdf, other textbooks are already in the MK’s library