Nice Hamel bases under the Covering Property Axiom


Krzysztof Ciesielski and Janusz Pawlikowski

Acta Math. Hungar. 105(3) (2004), 197-213.

In the paper we prove that axiom CPAprismgame, which follows from the Covering Property Axiom CPA and holds in the iterated perfect set model, implies that there exists a Hamel basis which is a union of less than continuum many pairwise disjoint perfect sets. We will also give two consequences of this last fact.

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Last modified December 2, 2004.