MATH-220: Metric and topological spaces

Summary

In metric spaces a distance is defined between each pair of points. In topological spaces, distances are replaced by only a certain notion of nearness. This abstract setting sheds new light upon basic questions: What is continuity? When should we consider two spaces to be equal?

Official source

https://edu.epfl.ch/coursebook/en/metric-and-topological-spaces-MATH-220

Moodle Page

http://go.epfl.ch/MATH-220

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