Regular space
This article defines a property of topological space that is pivotal (viz important) among currently studied properties of topological spaces
In the T family (properties of topological spaces related to separation axioms), this is called: T3
This article is about a basic definition in topology.
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Definition
Symbol-free definition
A topological space is said to be reguilar if it satisfies the following two conditions:
- It is a T1 space viz all points are closed
- Given a point and a closed set not containing it, there are disjoint open sets containing the point and the closed set respectively.