Eberly College of Arts and Sciences
We construct a symmetrically continuous function f : R → R such that for some X ⊂ R of cardinality continuum f|X is of Sierpi´nskiZygmund type. In particular such an f is not countably continuous. This gives an answer to a question of Lee Larson.
Digital Commons Citation
Ciesielski, Krzysztof, "Symmetrically Continuous Function Which Is Not Countably Continuous" (1997). Faculty & Staff Scholarship. 824.