Regular Space
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In topology and related fields of mathematics, regular spaces and T3 spaces are particularly special kinds of topological spaces. Both conditions are examples of separation axioms. Suppose that X is a topological space. X is a regular space if and only if, given any closed set F and any point x that does not belong to F, there exists a neighbourhood U of x and a neighbourhood V of F that are disjoint. In fancier terms, this condition says that x and F can be separated by neighbourhoods.…mehr

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In topology and related fields of mathematics, regular spaces and T3 spaces are particularly special kinds of topological spaces. Both conditions are examples of separation axioms. Suppose that X is a topological space. X is a regular space if and only if, given any closed set F and any point x that does not belong to F, there exists a neighbourhood U of x and a neighbourhood V of F that are disjoint. In fancier terms, this condition says that x and F can be separated by neighbourhoods.