Submaximal space | Wikipedia audio article
Channel: wikipedia tts
Date: 2019-05-17

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Glossary_of_topology


00:00:30 A
00:01:40 B
00:04:46 C
00:10:18 D
00:11:46 0 and d(x, y)
00:12:42 E
00:13:02 F
00:15:12 0 and f(B)
00:15:24 G
00:15:56 H
00:17:47 f(x) and H(x, 1)
00:18:27 I
00:20:26 d1(x, y) for all x, y in M1. Every isometry is injective, although not every isometry is surjective.
00:20:38 K
00:22:05 L
00:25:21 f(1)
00:25:38 M
00:27:04 0   then   x
00:28:25 N
00:30:09 O
00:30:59 P
00:32:08 x and terminal point f(1)
00:35:55 {y : −1  y  1} is a neighbourhood of x
00:36:02 (−1, 1) − {0} is a punctured neighbourhood of 0.
00:36:10 Q
00:38:13 R
00:40:08 S
00:45:30 T
00:48:51 U
00:50:58 W
00:52:29 Z
00:52:46 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: 0.8648147732493097
Voice name: en-GB-Wavenet-A


"I cannot teach anybody anything, I can only make them think."
- Socrates


SUMMARY
=======
This is a glossary of some terms used in the branch of mathematics known as topology. Although there is no absolute distinction between different areas of topology, the focus here is on general topology. The following definitions are also fundamental to algebraic topology, differential topology and geometric topology.
All spaces in this glossary are assumed to be topological spaces unless stated otherwise.