Interior Points and Compact Sets

This lecture covers the concepts of interior points, boundary points, isolated points, and adherence points in a set, as well as the definitions of open and closed sets. It also explains the notion of compact sets, including the conditions for a set to be considered compact. The lecture delves into the properties of compact sets and provides examples to illustrate the concepts. Additionally, it discusses norms in R, providing examples and definitions related to bounded sets and compactness.