normal space

(redirected from Normal topological space)

normal space

[′nȯr·məl ′spās]
(mathematics)
A topological space in which any two disjoint closed sets may be covered respectively by two disjoint open sets.
References in periodicals archive ?
In this paper r stands for the set of real numbers, K will denote the field of real or complex numbers (we will call them scalars), X a Hausdorff normal topological space and E a quasi-complete locally convex space space over K with topology generated by an increasing family of semi-norms [[parallel]*[parallel].
Suppose X is a Hausdorff normal topological space, F the algebra generated by the closed subset of X and [mu]: [C.
Suppose X is a Hausdorff normal topological space and a weakly compact linear mapping [mu]: [C.