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The Yellow Cake

Andrzej Roslanowski·Saharon Shelah
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Abstract

We consider the following property: (*) For every function f from R^2 to R there are functions g_n,h_n from R to R (for n<omega) such that for all real numbers x and y, f(x,y) = sum_{n<omega} g_n(x)h_n(y). We show that, despite some expectation suggested by [Sh:675], (*) does not imply MA(sigma-centered). Next, we introduce cardinal characteristics of the continuum responsible for the failure of (*).

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Andrzej Roslanowski, Saharon Shelah. 1998-10-30. The Yellow Cake. https://arxiv.org/abs/math/9810179

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