Basic Constructions (quotient Spaces and Gluing, Manifolds, Traiangulations, Etc.) The Fundamental Group and Its Uses (e.g. The Brower Fixed Point Theorem). The Van-kampen Theorem and Its Uses (e.g. The Fundamental Groups of Surfaces and Graphs.) Covering Spaces. The Classification of Surfaces, Euler Characteristic. The Geometry of Surfaces (spherical, Euclidean, Hyperbolic).

Faculty: Mathematics
|Undergraduate Studies

Pre-required courses

(104142 - Int. to Metric and Topological Space and 104172 - Introduction to The Theory of Groups) or (104142 - Int. to Metric and Topological Space and 104158 - Introduction to Group Theory)


Semestrial Information