2 papers
math.LO2004
Cardinal sequences and Cohen real extensions
István Juhász, Saharon Shelah, Lajos Soukup +1
We show that if we add any number of Cohen reals to the ground model then, in the generic extension, a locally compact scattered space has at most (2^{aleph_0})^V many levels of si…
math.LO2001
A tall space with small bottom
Istvan Juhász, Saharon Shelah, Lajos Soukup +1
We introduce a general method of constructing locally compact scattered spaces from certain families of sets and then, with the help of this method, we prove that if kappa^{<kappa}…