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

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

1997-06-15

arxiv.org/abs/math/9706223v1

Mathematics

Logic

Scientific paper

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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