Course Description

Mathematics 304a/b Metric Space Topology

An introduction to the theory of metric spaces with emphasis on the point-set topology of Euclidean n-space, including convergence, compactness, completeness, continuity, uniform continuity, homeomorphism, equivalence of metrics, connectedness, path-connectedness, fixed-point theorem for contractions, separability, complete normality, product spaces, category.

Prerequisite: Mathematics 207a/b with a minimum grade of "C".

3 lecture hours, half course.

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