Applications of automatic quasi-continuity
Abstract
We study quasi-continuous functions on the product of two spaces provided they are separately continuous. We apply our results to actions of (semi-) groups on topological spaces and to the problem of the uniqueness of extensions of separately continuous functions.
Keywords
semi-continuity; Baire number; separate continuity
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Instytut Matematyki, Uniwersytet Śląski w Katowicach Poland
Department of Mathematics, Slippery Rock University, USA United States
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