A note on feebly compact semitopological symmetric inverse semigroups of a bounded finite rank

Oleg Gutik

Анотація


We study feebly compact shift-continuous T1-topologies on the symmetric inverse semigroup Iλn of finite transformations of the rank ⩽n. It is proved that such T1-topology is sequentially pracompact if and only if it is feebly compact. Also, we show that every shift-continuous feebly ω-bounded T1-topology on Iλn.

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DOI: http://dx.doi.org/10.30970/vmm.2021.91.040-053

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