402.3A3 Boundary Points of a Set

Описание к видео 402.3A3 Boundary Points of a Set

The naive idea that "open sets don't contain their endpoints" leads us to a valuable definition of boundary point that we will use in the next video to establish a definition of closed sets as well. See the playlist: http://matthematics.com/real

0:00 Introduction
2:18 Motivation for Boundary Points
7:21 Definition of Boundary Point
8:42 Equivalent Definition Using Interior
11:18 Definition of the Boundary of a Set
11:46 Openness and "Including the Boundary"

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