A Sierpiński-Zygmund function which has a perfect road at each point
نویسندگان
چکیده
منابع مشابه
Sierpinski-Zygmund functions that are Darboux, almost continuous, or have a perfect road
In this paper we show that if the real line R is not a union of less than continuum many of its meager subsets then there exists an almost continuous Sierpiński–Zygmund function having a perfect road at each point. We also prove that it is consistent with ZFC that every Darboux function f :R→ R is continuous on some set of cardinality continuum. In particular, both these results imply that the ...
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 1993
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm-64-2-159-162