Mathematics – Logic
Scientific paper
1998-05-15
Mathematics
Logic
Scientific paper
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. (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-> R with finite range remains open.
Ciesielski Krzysztof
Shelah Saharon
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