Regular space | Wikipedia audio article
Channel: wikipedia tts
Date: 2019-03-28

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Regular_space


00:00:37 1 Definitions
00:03:11 2 Relationships to other separation axioms
00:06:33 3 Examples and nonexamples
00:08:33 4 Elementary properties



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SUMMARY
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In topology and related fields of mathematics, a topological space X is called a regular space if every closed subset C of X and a point p not contained in C admit non-overlapping open neighborhoods. Thus p and C can be separated by neighborhoods. This condition is known as Axiom T3. The term "T3 space" usually means "a regular Hausdorff space". These conditions are examples of separation axioms.