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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.LO2002
Generic left-separated spaces and calibers
Istvan Juhász, Saharon Shelah
We use a natural forcing to construct a left-separated topology on an arbitrary cardinal kappa. The resulting left-separated space X_kappa is also 0-dimensional T_2, hereditarily L…
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}…