Perfectly normal Hausdorff space | Wikipedia audio article
Channel: wikipedia tts
Date: 2019-05-03

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Normal_space


00:00:39 1 Definitions
00:04:44 2 Examples of normal spaces
00:06:27 3 Examples of non-normal spaces
00:07:18 4 Properties
00:08:06 5 Relationships to other separation axioms
00:10:18 6 Citations



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SUMMARY
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In topology and related branches of mathematics, a normal space is a topological space X that satisfies Axiom T4: every two disjoint closed sets of X have disjoint open neighborhoods. A normal Hausdorff space is also called a T4 space. These conditions are examples of separation axioms and their further strengthenings define completely normal Hausdorff spaces, or T5 spaces, and perfectly normal Hausdorff spaces, or T6 spaces.