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math.GN2012★ 1 cited
Comparing weak versions of separability
Daniel T. Soukup, Lajos Soukup, Santi Spadaro
Our aim is to investigate spaces with sigma-discrete and meager dense sets, as well as selective versions of these properties. We construct numerous examples to point out the diffe…
math.LO2012
Essentially disjoint families, conflict free colorings and Shelah's Revised GCH
Lajos Soukup
Using Shelah's revised GCH theorem we prove that if mu<beth_omega <= lambda are cardinals, then every mu-almost disjoint subfamily B of [lambda]^{beth_omega} is essentially disjoin…