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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★ 4 cited
Finite subgraphs of uncountably chromatic graphs
Péter Komjáth, Saharon Shelah
It is consistent that for every monotonically increasing function f:omega->omega there is a graph with size and chromatic number aleph_1 in which every n-chromatic subgraph has at…
math.LO2002
A partition theorem for scattered order types
Peter Komjath, Saharon Shelah
If phi is a scattered order type, mu a cardinal, then there exists a scattered order type psi such that psi->[phi]^1_{mu,aleph_0} holds.