Abstract
In [1], the author claimed that “if \(\mathcal{F}=\{F_j: j\in J\}\) is a semi locally finite collection of a topological space, then \(\bigcup _{j\in J} {\rm sCl}(F_j)= {\rm sCl} (\bigcup{j\in J} F_j)\).” We provide an illustrative example to show that this claim is false in general. Then, we investigate the condition under which this equality is true.
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References
K. Y. Al-Zoubi, s-expandable spaces, Acta Math. Hungar., 102 (2004), 203–210.
D. S. Jankovic, A note on mappings of extremally disconnected spaces, Acta Math. Hungar., 46 (1985), 83–92.
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Al-shami, T.M. Note on s-expandable spaces. Acta Math. Hungar. 170, 633–634 (2023). https://doi.org/10.1007/s10474-023-01351-5
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DOI: https://doi.org/10.1007/s10474-023-01351-5