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The arbitrary intersection of a family of open subsets with the \(\alpha\)-s-locally finite property is \(\alpha\)-semi-open. (Spanish. English summary) Zbl 0981.54002

Summary: A necessary and sufficient condition for an arbitrary intersection of open sets to be \(\alpha\)-semi-open is given.

MSC:

54A05 Topological spaces and generalizations (closure spaces, etc.)
54A10 Several topologies on one set (change of topology, comparison of topologies, lattices of topologies)
54D10 Lower separation axioms (\(T_0\)–\(T_3\), etc.)
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