Title: Foundations of topology

Description: Rigorous foundations of point set topology: topological spaces, continuous maps. Metric spaces. Connectedness, compactness, countability and separation axioms. Product topology, quotient topology. Introduction to algebraic topology: fundamental group, the notion of a covering space, van Kampen theorem, computations and applications. The course provides foundations for graduate study in topology, geometry, and analysis.

Credits: 3, S/U grading

Graduate Bulletin Course Information

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