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The discontinuity point sets of quasi-continuous functions
Published online by Cambridge University Press: 17 April 2009
Extract
It is proved that a subset E of a hereditarily normal topological space X is a discontinuity point set of some quasi-continuous function f: X → ℝ if and only if E is a countable union of sets En = Ān ⋂ Bdash aboven where Ān ⋂ Bn = An ⋂ Bdash aboven = φ
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- Copyright © Australian Mathematical Society 2007
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