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Strict topology and perfect measures

Surjit Singh Khurana; Jorge E. Vielma — 1990

Czechoslovak Mathematical Journal

Isolated points and redundancy

P. Alirio J. Peña; Jorge E. Vielma — 2011

Commentationes Mathematicae Universitatis Carolinae

We describe the isolated points of an arbitrary topological space $(X, τ)$ . If the $τ$ -specialization pre-order on $X$ has enough maximal elements, then a point $x \in X$ is an isolated point in $(X, τ)$ if and only if $x$ is both an isolated point in the subspaces of $τ$ -kerneled points of $X$ and in the $τ$ -closure of ${x}$ (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 $Spec (R)$ of a (commutative...

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