The combinatorics of tau-covers
arXiv:math/0409068 · doi:10.1016/j.topol.2006.04.011
Abstract
We solve four out of the six open problems concerning critical cardinalities of topological diagonalization properties involving tau-covers, show that the remaining two cardinals are equal, and give a consistency result concerning this remaining cardinal. Consequently, 21 open problems concerning potential implications between these properties are settled. We also give structural results based on the combinatorial techniques.
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