Course title  Category Theory 

Course code  MU/03260 
Organizational form of instruction  Lecture + Lesson 
Level of course  Master 
Year of study  not specified 
Semester  Winter 
Number of ECTS credits  6 
Language of instruction  Czech 
Status of course  Compulsoryoptional 
Form of instruction  Facetoface 
Work placements  This is not an internship 
Recommended optional programme components  None 
Course availability  The course is available to visiting students 
Lecturer(s) 


Course content 
Objects and morphisms, category, dual category, subcategory. Monomorhisms, epimorphisms, equalizers, products, pullbacks, general limits and dual concepts. Functors, concrete categories, equivalence of categories. Natural transformations, representable functors, adjoint functors, Freyd's theorems. Additive and Abelian categories, kernel and cokernel, exact functors. Injective and projective objects, resolvents, derived functors, Ext and Tor.

Learning activities and teaching methods 
unspecified 
Recommended literature 

Study plans that include the course 
Faculty  Study plan (Version)  Branch of study Category  Recommended year of study  Recommended semester 

Mathematical Institute in Opava  Mathematical Analysis (1)  Mathematics courses  1  Winter 
Mathematical Institute in Opava  Mathematical Analysis (1IVT)  Mathematics courses  4  Winter 