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This is an audio version of the Wikipedia Article: https://en.wikipedia.org/wiki/Hausdor... 00:00:46 1 Definitions 00:02:07 2 Equivalences 00:02:43 3 Examples and non-examples 00:02:52 4 Properties 00:04:45 5 Preregularity versus regularity 00:09:02 6 Variants 00:10:35 7 Algebra of functions 00:11:48 8 Academic humour 00:12:25 9 See also 00:12:59 10 Notes 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... Other Wikipedia audio articles at: https://www.youtube.com/results?searc... Upload your own Wikipedia articles through: https://github.com/nodef/wikipedia-tts Speaking Rate: 0.7860317750326745 Voice name: en-AU-Wavenet-D "I cannot teach anybody anything, I can only make them think." Socrates SUMMARY ======= In topology and related branches of mathematics, a Hausdorff space, separated space or T2 space is a topological space where for any two distinct points there exists a neighbourhood of each which is disjoint from the neighbourhood of the other. Of the many separation axioms that can be imposed on a topological space, the "Hausdorff condition" (T2) is the most frequently used and discussed. It implies the uniqueness of limits of sequences, nets, and filters. Hausdorff spaces are named after Felix Hausdorff, one of the founders of topology. Hausdorff's original definition of a topological space (in 1914) included the Hausdorff condition as an axiom.