Additivity properties of topological diagonalizations

Tomek Bartoszynski; Saharon Shelah; Boaz Tsaban

doi:10.2178/jsl/1067620185

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.

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Tomek Bartoszynski. Saharon Shelah. Boaz Tsaban. "Additivity properties of topological diagonalizations." J. Symbolic Logic 68 (4) 1254 - 1260, December 2003. https://doi.org/10.2178/jsl/1067620185

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Published: December 2003

First available in Project Euclid: 31 October 2003

zbMATH: 1071.03031

MathSciNet: MR2017353

Digital Object Identifier: 10.2178/jsl/1067620185

Subjects:

Primary: 37F20

Secondary: 03E75 , 26A03

Keywords: Hurewicz property , Menger property , near coherence of filters , Selection principles

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