Lecture 13: Open and Closed Sets; Coverings; Compactness

Name: Lecture 13: Open and Closed Sets; Coverings; Compactness
Uploaded: 2025-09-02T14:18:06Z
Duration: 1 h 19 min 51 s
Description: We begin by giving a useful characterization of what it means for a set to be closed. This is the notion that a set contains all its limit points. After that, we turn to the notion of a cover and, in particular, open covers and use it to define compact subsets of a metric space.

1:19:51

We begin by giving a useful characterization of what it means for a set to be closed. This is the notion that a set contains all its limit points. After that, we turn to the notion of a cover and, in particular, open covers and use it to define compact subsets of a metric space.