Symmetrically continuous function which is not countably continuous


Krzysztof Ciesielski & Marcin Szyszkowski

Real Anal. Exchange 22 (1996-97), 428-432.

We construct a symmetrically continuous function f from R into R such that for some subset X of R of cardinality continuum the restriction f|X is of Sierpinski-Zygmund type. In particular such an f is not countably continuous. This gives an answer to a question of Lee Larson.

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