Colouring of successor of regular, again

  title={Colouring of successor of regular, again},
  author={Saharon Shelah},
  journal={Acta Mathematica Hungarica},
  • 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. 


The colouring existence theorem revisited
  • S. Shelah
  • Mathematics
  • Acta Mathematica Hungarica
  • 2019
We prove a better coloring theorem for aleph_4 and even aleph_3. This has a general topology consequence.
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  • S. Shelah
  • Mathematics, Computer Science
  • Ann. Pure Appl. Log.
  • 1997
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