The combinatorics of tau-covers

Heike Mildenberger; Saharon Shelah; Boaz Tsaban

doi:10.1016/j.topol.2006.04.011

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The combinatorics of tau-covers

Heike Mildenberger·Saharon Shelah·Boaz Tsaban

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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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Heike Mildenberger, Saharon Shelah, Boaz Tsaban. 2004-09-05. The combinatorics of tau-covers. https://doi.org/10.1016/j.topol.2006.04.011

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