Two examples concerning almost continuou
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Krzysztof Ciesielski; Andrzej Rosl̵anowski
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Article
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2000
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Elsevier Science
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English
⚖ 171 KB
In this note we will construct, under the assumption that union of less than continuum many meager subsets of R is meager in R, an additive connectivity function f : R → R with Cantor intermediate value property which is not almost continuous. This gives a partial answer to a question of Banaszewski