Covering a function on the plane by two continuous functions on an uncountable square - the consistency
Logic
2008-02-03 v1
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 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 .
Keywords
Cite
@article{arxiv.math/9706223,
title = {Covering a function on the plane by two continuous functions on an uncountable square - the consistency},
author = {Mariusz Rabus and Saharon Shelah},
journal= {arXiv preprint arXiv:math/9706223},
year = {2008}
}