Additivity properties of topological diagonalizations

Abstract

We answer a question of Just, Miller, Scheepers and Szeptycki whether certain diagonalization properties for sequences of open covers are provably closed under taking finite or countable unions. This is a very concise paper. For a self-contained, complete, and extended treatment of the topic see math.GN/0604451

All pointers to the current e-print for a complete version should be redirected to math.GN/0604451

References in corpus (2)

• The combinatorics of Borel covers
• Critical cardinalities and additivity properties of combinatorial notions of smallness

Cited by in corpus (13)

• Some new directions in infinite-combinatorial topology
• The combinatorics of Borel covers
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• o-bounded groups and other topological groups with strong combinatorial properties
• Strong gamma-sets and other singular spaces
• Selective covering properties of product spaces
• Critical cardinalities and additivity properties of combinatorial notions of smallness
• The combinatorics of splittability
• Products of Menger spaces in the Miller model
• Additivity numbers of covering properties
• Combinatorial images of sets of reals and semifilter trichotomy
• Selection Principles and special sets of reals: Open problems
• A semifilter approach to selection principles II: tau*-covers