Uncountable intersections of open sets under CPAprism


Krzysztof Ciesielski, and Janusz Pawlikowski

Proc. Amer. Math. Soc. 132(11) (2004), 3379-3385.

We prove that the Covering Property Axiom CPAprism, which holds in the iterated perfect set model, implies the following facts.

The example from the second fact refutes a conjecture of Brendle, Larson, and Todorcevic.\omega1<\continuum.

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Last modified July 20, 2004.