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.
Overview
Syllabus
- Lecture 1: Motivation, Intuition, and Examples
- Lecture 2: General Theory
- Lecture 3: Compact Sets in Rⁿ
- Lecture 4: Compact Metric Spaces
- Lecture 5: Complete Metric Spaces
- Lecture 6: Where We Go from Here
Taught by
Paige Bright
