Krzysztof Ciesielski, Saharon Shelah
Published 1998-01-15Version 1
We will prove that there exists a model of ZFC+``c= omega_2'' in which every M subseteq R of cardinality less than continuum c is meager, and such that for every X subseteq R of cardinality c there exists a continuous function f:R-> R with f[X]=[0,1]. In particular in this model there is no magic set, i.e., a set M subseteq R such that the equation f[M]=g[M] implies f=g for every continuous nowhere constant functions f,g:R-> R .
Tameness and frames revisited
Uniformization and the diversity of Whitehead groups
Complete $\mathcal{L}_{ω_1,ω}$-Sentences with Maximal Models in Multiple Cardinalities
![QR code for arXiv:math/9801154 [math.LO]](http://oss.arxitics.com/images/favicon.svg)