Covering a function on the plane by two continuous functions on an uncountable square - the consistency

by Rabus and Shelah. [RbSh:585]
Annals Pure and Applied Logic, 2000
It is consistent that for every function f: R x R-> R there is an uncountable set A subseteq R and two continuous functions f_0,f_1:D(A)-> R such that f(alpha, beta) in {f_0(alpha, beta),f_1(alpha, beta)} for every (alpha, beta) in A^2, alpha not = beta .

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