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math.LO1998
Uniformly antisymmetric function with bounded range
Krzysztof Ciesielski, Saharon Shelah
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…
math.LO1998
A model with no magic sets
Krzysztof Ciesielski, Saharon Shelah
We will prove that there exists a model of ZFC+``c= omega_2'' in which every M subseteq R of cardinality less than continuum c is meager, and such that for every X subseteq R of ca…
math.LO1994★ 6 cited
Cardinal invariants concerning functions whose sum is almost continuous
Krzysztof Ciesielski, Arnold W. Miller
A function f from reals to reals (f:R->R) is almost continuous (in the sense of Stallings) iff every open set in the plane which contains the graph of f contains the graph of a con…