Sh:680

• Ciesielski, K. C., & Shelah, S. Uniformly antisymmetric functions with bounded range. Real Anal. Exchange, 24(2), 615–619. arXiv: math/9805151 MR: 1704738
• Abstract:
  The goal of this note is to construct a uniformly antisymmetric function f:R\to R with a bounded countable range. This answers Problem 1(b) of Ciesielski and Larson. (See also list of problems in Thomson and Problem 2(b) from Ciesielski’s survey.) A problem of existence of uniformly antisymmetric function f:R\to R with finite range remains open.
• Version 1999-09-02_11 (5p) published version (5p)

@article{Sh:680,
 author = {Ciesielski, Krzysztof Chris and Shelah, Saharon},
 title = {{Uniformly antisymmetric functions with bounded range}},
 journal = {Real Anal. Exchange},
 fjournal = {Real Analysis Exchange},
 volume = {24},
 number = {2},
 year = {1998/99},
 pages = {615--619},
 issn = {0147-1937},
 mrnumber = {1704738},
 mrclass = {26A15 (26A21)},
 note = {\href{https://arxiv.org/abs/math/9805151}{arXiv: math/9805151}},
 arxiv_number = {math/9805151}
}