The combinatorics of tau-covers
General Topology
2010-11-02 v4 Combinatorics
Logic
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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Cite
@article{arxiv.math/0409068,
title = {The combinatorics of tau-covers},
author = {Heike Mildenberger and Saharon Shelah and Boaz Tsaban},
journal= {arXiv preprint arXiv:math/0409068},
year = {2010}
}
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