Eberly College of Arts and Sciences
We prove that the Covering Property Axiom CPAprism, which holds in the iterated perfect set model, implies the following facts.
- There exists a family G of uniformly continuous functions from R to [0,1] such that G has cardinality \omega1 < \continuum and for every subset S of R of cardinality \continuum there exists a g in G with g[S]=[0,1].
- The additivity of the Marczewski's ideal s0 is equal to \omega1 < \continuum.
Digital Commons Citation
Ciesielski, Krzysztof, "Continuous images of big sets and additivity of s0 under CPAprism" (2004). Faculty & Staff Scholarship. 843.