Topology-13 (Local Basis in a Topological Space)
In this lecture, we will learn about local basis or nbd-basis. Not only that but we will also learn that the motivation and idea of a definition in mathematics is crucial because if we forget something about the definition or make some error but we know the idea behind the definition we can sort out our mistake.
I have made a mistake purposefully and rectified it in the process to make you guys understand what I am saying above.
Timestamps:
0:00 - A Quick Review
4:14 - A Few Crucial Remarks
10:12 - Importance of knowing Basis for a topological space
25:00 - The concept of Local Basis (With an error but later on rectified)
30:43 - The motivation for "Local Basis"
37:12 - Correction of mistake in definition of Local Basis
44:47 - The concluding remarks