Topology 15 (Basis for the Topology)

Let (X,T) be a topological space. We define the notion of a basis for the given topology T on X. We then look at examples of basis for the topological spaces from out List.

Timestamp provided by Arup Mazumdar.

00:00 Disclaimer
02:33 Definition of Basis for the topology
04:18 Example 1 Basis in Metric Space
05:38 Another Basis
07:57 A special case
17:34 Caution
19:28 Example 2 Basis in discrete topological space
20:08 Example 3 Basis in indiscrete topological space
20:31 Example 4 Basis in VIP topological space
21:38 Example 5 Basis in Outcast topological space
22:36 Example 6 Basis in Lower limit topological space
24:36 Example 7 Basis in co-countable topological space
29:19 Example 8 Basis in R^2
31:36 Applications of Basis