Course Information

Course Code:
Course Number:
Code Course Name Language Type
MAT 495 Basic Algebraic Topology Turkish Elective
Local Credits ECTS Theoretical Tutorial Laboratory
3 6 3 0 0
Course Prerequisites and Class Restriction
Prerequisites (MAT 322 MIN DD
or MAT 322E MIN DD)

and (MAT 355 MIN DD
or MAT 355E MIN DD)

Class Restriction None
Course Description
Homotopy. Fundamental group. Fundamental group of the circle. Free groups and Van Kampen’s Theorem. Simplicial sets and simplicial homotopy. Homology of a chain complex. Axioms for Homology. Simplicial and Singular Homology. Dold-Kan equivalence.