Covering a function on the plane by two continuous functions on an uncountable square - the consistency
Mariusz Rabus, Saharon Shelah
Abstract
It is consistent that for every function f:R x R-> R there is an uncountable set A subseteq R and two continuous functions f0,f1:D(A)-> R such that f(alpha, beta) in f0(alpha, beta),f1(alpha, beta) for every (alpha, beta) in A2, alpha not = beta .
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