Article ID Journal Published Year Pages File Type
4661472 Topology and its Applications 2007 14 Pages PDF
Abstract

We solve four out of the six open problems concerning critical cardinalities of topological diagonalization properties involving τ-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.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology