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 (*).

• Version 1998-06-23_11 (11p) published version (13p)

@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},
 mrnumber = {1694876},
 mrclass = {26B40 (03E17 03E35)},
 doi = {10.1090/S0002-9939-00-05538-6},
 note = {\href{https://arxiv.org/abs/math/9810179}{arXiv: math/9810179}},
 arxiv_number = {math/9810179}
}