We have started with a set and have discussed how to give an additional structure on it called "Topology", our next step is to discuss about the maps between two topological spaces called continuous maps in order to establish or understand "What do we mean by saying two topological spaces are same ?".
Let's have a head-start.
Timestamps:
0:00 - Motivation
12:18 - Definition of Continuity in Topological Spaces
15:30 - A Trivial Non - Example
20:15 - One of the most important class of examples of continuous function
40:05 - A homework
51:46 - Plan for near future