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MATH313Undergraduate

Metric Spaces

Printed in the catalogue as METRIC SPACES

Course content

Metric Spaces. Compactness, connectedness, limits and continuity in metric spaces. Sequences and series in metric spaces, complete metric spaces, completion of a metric space. Sequences and series of functions, uniform convergence. Applications:contraction mappings theorem and its applications, Tietze extension theorem, Baire`s theorem.

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