Colouring of successor of regular, again

@article{Shelah2021ColouringOS,
  title={Colouring of successor of regular, again},
  author={Saharon Shelah},
  journal={Acta Mathematica Hungarica},
  year={2021}
}
  • S. Shelah
  • Published 6 October 2019
  • Mathematics
  • Acta Mathematica Hungarica
We get a quite maximal version of the colouring property Pr_1 by proving Pr_1(lambda,lambda,lambda,theta) when lambda = partial^+, partial > theta are regular cardinals. 

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TLDR
It is proved that colouring of pairs from ℵ 2 with strong properties exists and the easiest to state problem it solves is: there are two topological spaces with cellularityℵ 1 whose product has cellularity ™ 2. Expand