Title of the course: Homology and Cohomology of 2-manifolds
Instructor: Dr. Merve Seçgin
Institution: Atılım Üniversitesi
Dates: 6-12 January 2020
Prerequisites: Basic Algebra, Point Set Topology
Level: Graduate, Advanced undergraduate
Abstract or a daily curriculum: In this lecture series we will define fundamental groups, cellular homology and cellular cohomology groups. We will especially focus on 2 dimensional spaces. Daily description is as follows.
Day 1: Cell Complexes, Homotopy
Day 2: Fundamental Groups, Homology Axioms
Day 3: Homology Groups, Calculation of Homology Groups of Cell Complexes
Day 4: Cohomology Axioms
Day 5: Cohomology Groups
Day 6: Calculation of Cohomology Groups of Cell Complexes
Textbook, References:
1. Hajime, Sato – Algebraic Topology An Intuitive Approach (Ams, 1999)(T)(124S)
2. Greenberg M.,Harper J. – Algebraic Topology.. A First Course-Benjamin-Cummings 1981
Language: EN/TR