Was Sierpinski right? IV

Mathematics – Logic

Scientific paper

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Scientific paper

We prove for any mu = mu^{< mu}< theta < lambda, lambda large enough (just
strongly inaccessible Mahlo) the consistency of 2^mu = lambda-> [theta]^2_3
and even 2^mu = lambda-> [theta]^2_{sigma,2} for sigma < mu . The new point is
that possibly theta > mu^+ .

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