Introduction to Category Theory

26 August – 1 September 2019

Title of the course: Introduction to Category Theory
Instructor: Dr. Matteo Paganin
Institution: Sabancı Ü.
Dates: 26 August – 1 September 2019
Prerequisites: Some group theory, some topology, the more the better, to have examples.
Level: Advance Undergradate / Graduate
Abstract: The aim of the course is to show how most of the common contructions in Mathematics are can be described with a common language, turning out to be so called adjoints.
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.
Language: TR, EN