Remarks on uniformly symmetrically continuous functions
نویسندگان
چکیده
منابع مشابه
Decomposing Symmetrically Continuous and Sierpiński-zygmund Functions into Continuous Functions
In this paper we will investigate the smallest cardinal number κ such that for any symmetrically continuous function f : R → R there is a partition {Xξ : ξ < κ} of R such that every restriction f Xξ : Xξ → R is continuous. The similar numbers for the classes of Sierpiński-Zygmund functions and all functions from R to R are also investigated and it is proved that all these numbers are equal. We ...
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ژورنال
عنوان ژورنال: Asian-European Journal of Mathematics
سال: 2016
ISSN: 1793-5571,1793-7183
DOI: 10.1142/s1793557116500698