The combinatorics of tau-covers

Details The combinatorics of tau-covers The combinatorics of tau-covers

2004-09-05

arxiv.org/abs/math/0409068v4

Topology and its Applications 154 (2007), 263--276

Mathematics

General Topology

Small updates

Scientific paper

10.1016/j.topol.2006.04.011

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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