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.
• Version 1996-09-05_10 (29p) published version (22p)

@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},
 mrnumber = {1437644},
 mrclass = {03E05 (03E10 04A10 04A20)},
 doi = {10.1016/S0168-0072(96)00020-6},
 note = {\href{https://arxiv.org/abs/math/9609218}{arXiv: math/9609218}},
 arxiv_number = {math/9609218}
}