Carpintero, Carlos; Rosas, Ennis 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 Divulg. Mat. 8, No. 2, 155-162 (2000). 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.) Keywords:\(\alpha\)-SLF property; star-operator; \(\alpha\)-semi-open PDFBibTeX XMLCite \textit{C. Carpintero} and \textit{E. Rosas}, Divulg. Mat. 8, No. 2, 155--162 (2000; Zbl 0981.54002) Full Text: EuDML EMIS