Name: mod02lec12 - Basis for a topology | Videos | Gan Jing World
Uploaded: 2023-12-08T23:21:00.504Z
Duration: 25 min 39 s
Description: We describe another method to define a topology which is somewhat more convenient than describing all the open sets explicitly. This is done via the so-called b... | Videos | Gan Jing World

NPTEL-NOC IITM

https://video3-us-west.cloudokyo.cloud/video/v6/53/b6/91/53b69112-ba05-40d4-81ee-4618515fe218/master.m3u8

We describe another method to define a topology which is somewhat more convenient than describing all the open sets explicitly. This is done via the so-called basis for a topology. In this lecture we define what a basis is, and show how such a basis defines (or generates) a topology. An example of a basis is given which consists of all the sinleton sets of a set, and it is shown that it generates the discrete topology on the set.