Path connected space | Wikipedia audio article
Channel: Subhajit Sahu
Date: 28/03/2019

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Connected_space


00:00:27 1 Formal definition
00:01:45 1.1 Connected components
00:03:14 1.2 Disconnected spaces
00:04:14 2 Examples
00:08:02 3 Path connectedness
00:08:27 4 Arc connectedness
00:09:33 5 Local connectedness
00:10:16 6 Set operations
00:10:19 7 Theorems
00:10:24 8 Graphs
00:11:51 9 Stronger forms of connectedness
00:16:51 10 See also
00:17:04 11 References
00:17:17 12 Further reading
00:18:55 Graphs
00:20:07 Stronger forms of connectedness
00:21:15 See also



Listening is a more natural way of learning, when compared to reading. Written language only began at around 3200 BC, but spoken language has existed long ago.

Learning by listening is a great way to:
- increases imagination and understanding
- improves your listening skills
- improves your own spoken accent
- learn while on the move
- reduce eye strain

Now learn the vast amount of general knowledge available on Wikipedia through audio (audio article). You could even learn subconsciously by playing the audio while you are sleeping! If you are planning to listen a lot, you could try using a bone conduction headphone, or a standard speaker instead of an earphone.

Listen on Google Assistant through Extra Audio:
https://assistant.google.com/services/invoke/uid/0000001a130b3f91
Other Wikipedia audio articles at:
https://www.youtube.com/results?search_query=wikipedia+tts
Upload your own Wikipedia articles through:
https://github.com/nodef/wikipedia-tts
Speaking Rate: 0.9998557313837895
Voice name: en-US-Wavenet-A


"I cannot teach anybody anything, I can only make them think."
- Socrates


SUMMARY
=======
In topology and related branches of mathematics, a connected space is a topological space that cannot be represented as the union of two or more disjoint nonempty open subsets. Connectedness is one of the principal topological properties that are used to distinguish topological spaces.
A subset of a topological space X is a connected set if it is a connected space when viewed as a subspace of X.