Operator compactification of topological spaces.
Operator decomposition of continuous mappings.
-continuous mappings and their decomposition.
Operators associated to a topology over a set and related notions.
Strict topology and perfect measures
Isolated points and redundancy
We describe the isolated points of an arbitrary topological space . If the -specialization pre-order on has enough maximal elements, then a point is an isolated point in if and only if is both an isolated point in the subspaces of -kerneled points of and in the -closure of (a special case of this result is proved in Mehrvarz A.A., Samei K., , J. Sci. Islam. Repub. Iran (1999), no. 3, 193–196). This result is applied to an arbitrary subspace of the prime spectrum of a (commutative...
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