# Sh:686

- Rosłanowski, A., & Shelah, S. (2001).
*The yellow cake*. Proc. Amer. Math. Soc.,**129**(1), 279–291. arXiv: math/9810179 DOI: 10.1090/S0002-9939-00-05538-6 MR: 1694876 -
Abstract:

We consider the following property:(*) For every function f:R\times R\longrightarrow R there are functions g^0_n,g^1_n:R\longrightarrow R (for n<\omega) such that (\forall x,y\in R)(f(x,y)=\sum_{n<\omega}g^0_n(x)g^1_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 (*).

- published version (13p)

Bib entry

@article{Sh:686, author = {Ros{\l}anowski, Andrzej and Shelah, Saharon}, title = {{The yellow cake}}, journal = {Proc. Amer. Math. Soc.}, fjournal = {Proceedings of the American Mathematical Society}, volume = {129}, number = {1}, year = {2001}, pages = {279--291}, issn = {0002-9939}, doi = {10.1090/S0002-9939-00-05538-6}, mrclass = {26B40 (03E17 03E35)}, mrnumber = {1694876}, mrreviewer = {Krzysztof Ciesielski}, doi = {10.1090/S0002-9939-00-05538-6}, note = {\href{https://arxiv.org/abs/math/9810179}{arXiv: math/9810179}}, arxiv_number = {math/9810179} }