We prove that for every real function \(f\) defined on a separable, complete and dense in itself metric space \(X\) there exists a \(c\)-dense set \(W\subset X\) such that \(f\upharpoonleft W\) is super quasi-continuous.
"A new variant of Blumberg’s theorem."
Real Anal. Exchange
806 - 813,
First available in Project Euclid: 22 May 2012
pointwise discontinuous function
super quasi-continuous function
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