18.S190 | January IAP 2023 | Undergraduate

Introduction to Metric Spaces

Course Description

This course provides a basic introduction to metric spaces. It covers metrics, open and closed sets, continuous functions (in the topological sense), function spaces, completeness, and compactness.

Course Info

Learning Resource Types
Lecture Notes
Lecture Videos
Online Textbook
Problem Sets
Instructor Insights
Six rectangles, which are subsets of each other.
Hierarchy of topological spaces. (Image by MIT OpenCourseWare.)