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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)

• A basic course in algebraic topology - Massey, William S.
• Algebraic topology - Hatcher, Allen
• Algebraic topology : an introduction - Massey, William S.
• Algebraic topology : an introduction. - Massey, William S.
• Topology - Munkres, James R.
• Topology; a first course. - Munkres, James R.