General Information:
-
-
- Lectures: Tuesday 8:10 am – 9:25 am and Thursday 8:30 am – 9:45 am in RIC 209
- Instructor: Paul Arnaud Songhafouo Tsopmene, Office: CW 307.28, Phone: 306-585-4424, Email: pso748@uregina.ca
- Office Hours: Tuesday and Thursday, 10:00 am – 11:00 pm or by appointment.
-
Course Description: A course intended to introduce students to algebraic topology.
Topics include the fundamental groups, homology, and cohomology groups of topological spaces.
Textbook: Algebraic Topology, by Allen Hatcher. This is free and available here.
Content: Topics include
-
-
- Homotopy Type: Definition and Examples, Contractible Spaces.
- The Fundamental Group: Paths, Homotopy of Paths, Loops and Definition of the Fundamental Group, The Fundamental Group of the Circle, Induced Homomorphism, Applications of the Fundamental Group, The Van Kampen Theorem.
- Homology: Chain Complexes, Simplicial Homology, Singular Homology, Applications.
- Cohomology (if time permits): Cohomology Groups, Cup Product.
-
Prerequisite: MATH 441, or approval of the department chair.
Course Outline/Syllabus: More information about this course can be found in the course outline.