Course title  Algebraic and Differential Topology II 

Course code  MU/04063 
Organizational form of instruction  Lecture + Lesson 
Level of course  Master 
Year of study  not specified 
Semester  Summer 
Number of ECTS credits  6 
Language of instruction  Czech 
Status of course  Compulsory, 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 
Chain complexes of Abelian groups, homology, morphisms of chain complexes, algebraic homotopies of chain complex morphisms. Singular simplices, singular chains, singular homology, homotopic invariance of singular homologies. The long exact sequence of homologies, barycentric subdivision, excission, MayerVietors formula. The mapping degree, methods of its calculation. CWcomplexes, cellular homologies and their identification with singular homologies.

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  Mathematics (2F)  Mathematics courses  3  Summer 
Mathematical Institute in Opava  Geometry and Global Analysis (1)  Mathematics courses  1  Summer 
Mathematical Institute in Opava  Mathematics (1IVT)  Mathematics courses  3  Summer 
Mathematical Institute in Opava  Mathematical Analysis (1IVT)  Mathematics courses  5  Summer 