# Sh:572

- Shelah, S. (1997).
*Colouring and non-productivity of \aleph_2-c.c*. Ann. Pure Appl. Logic,**84**(2), 153–174. arXiv: math/9609218 DOI: 10.1016/S0168-0072(96)00020-6 MR: 1437644 -
Abstract:

We prove that colouring of pairs from \aleph_2 with strong properties exists. The easiest to state (and quite a well known problem) it solves: there are two topological spaces with cellularity \aleph_1 whose product has cellularity \aleph_2; equivalently we can speak on cellularity of Boolean algebras or on Boolean algebras satisfying the \aleph_2-c.c. whose product fails the \aleph_2-c.c. We also deal more with guessing of clubs. - published version (22p)

Bib entry

@article{Sh:572, author = {Shelah, Saharon}, title = {{Colouring and non-productivity of $\aleph_2$-c.c}}, journal = {Ann. Pure Appl. Logic}, fjournal = {Annals of Pure and Applied Logic}, volume = {84}, number = {2}, year = {1997}, pages = {153--174}, issn = {0168-0072}, doi = {10.1016/S0168-0072(96)00020-6}, mrclass = {03E05 (03E10 04A10 04A20)}, mrnumber = {1437644}, mrreviewer = {Jakub Jasi\'nski}, doi = {10.1016/S0168-0072(96)00020-6}, note = {\href{https://arxiv.org/abs/math/9609218}{arXiv: math/9609218}}, arxiv_number = {math/9609218} }