Document Type
Article
Publication Date
1999
College/Unit
Eberly College of Arts and Sciences
Department/Program/Center
Mathematics
Abstract
The goal of this note is to construct a uniformly antisymmetric function f : R → R with a bounded countable range. This answers Problem 1(b) of Ciesielski and Larson [6]. (See also the list of problems in Thomson [9] and Problem 2(b) from Ciesielski’s survey [5].) A problem of existence of uniformly antisymmetric function f : R → R with finite range remains open.
Digital Commons Citation
Ciesielski, Krzysztof, "Uniformly Antisymmetric Function With Bounded Range" (1999). Faculty & Staff Scholarship. 830.
https://researchrepository.wvu.edu/faculty_publications/830