Topology-8 (Concept of Neighborhoods in a Topological Space)

In this lecture, we will learn what we mean by a neighborhood in a topological space and conclude with a crucial result, which teaches us to construct a very special kind of topology on a given set.

Timestamps:
0:00 - Introduction
1:07 - Definition of a Neighborhood in Topological Spaces
11:00 - A few properties related to collection of neighborhoods of a given point
27:54 - Construction of a topology on a given set using "nbd-like subsets"
44:37 - A final note on an application in Galois Theory