Path connectedness 1 (Topology - Connectedness)

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WE define a path in a topological space. We distinguish between the image of a path and the path. We give a few examples to illustrate these ideas. Then we define a path-connected space. We look at a lot of examples of path-connected space.

Timestamp provided by Ishwarya.

0:00 Introduction
2:23 Definition - Path
7:52 Examples
10:57 Real life Examples
12:52 Loop
18:36 Definition- Path Connected
20:56 Examples
34:14 Recall
37:57 Theorem: X is Path connected iff there exists p in X such that for all q in X there exists a path connecting p to q
46:12 Application

#kumarhcu

S Kumaresan

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Sir I want to share with you that, I have watched few of your Metric spaces lectures on YouTube. These were really nice. From these I tried to learn your way of thinking and I think I'm somewhat successful. Now I am loving learning Mathematics. I am now focusing on making right kind of questioning and having a proper intuitive Idea. But I want to know that what is the benefits of learning the subjects like real analysis, Metric spaces, group theory, etc in syllabus and where will they be applied in future? Plz make a video on this topic

avinashjagtap

Sir at 26:20 I think you meant (-inf, 1) rather than (-inf, 0).

subhrajyotinayak

Lecture on group theory for bsc sir please sir due to covid sir our college are closed sir please sir

ujjwalprasad

Sir can we have videos on calculus...☺️

Abinay_Chamling

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