Abstract
We construct a symmetrically continuous function \(f\colon\mathbb{R}\to\mathbb{R}\) such that for some \(X\subset\mathbb{R}\) of cardinality continuum \(f|X\) is of Sierpiński-Zygmund type. In particular such an \(f\) is not countably continuous. This gives an answer to a question of Lee Larson.
Citation
Krzysztof Ciesielski. Marcin Szyszkowski. "A symmetrically continuous function which is not countably continuous." Real Anal. Exchange 22 (1) 428 - 432, 1996/1997.
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