Topology Lecture 04: Continuous Maps

Описание к видео Topology Lecture 04: Continuous Maps

We define what a continuous function between topological spaces is and show how this relates to the epsilon-delta definition of continuity in analysis. We then prove that various basic functions are continuous and conclude by showing that continuity is a local property.

00:00 Introduction
00:21 Definition: Continuous Map
11:48 Prop: Continuity in terms of closed sets
19:38 Prop: Properties of continuous maps
31:17 Prop: Local characterization of continuity

This lecture follows Lee's "Introduction to topological manifolds", chapter 2.

A playlist with all the videos in this series can be found here:
   • Topology  

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