Journal of Symbolic Logic

Additivity properties of topological diagonalizations

Tomek Bartoszynski, Saharon Shelah, and Boaz Tsaban

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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.

Article information

J. Symbolic Logic, Volume 68, Issue 4 (2003), 1254-1260.

First available in Project Euclid: 31 October 2003

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 37F20: Combinatorics and topology
Secondary: 26A03: Foundations: limits and generalizations, elementary topology of the line 03E75

Menger property Hurewicz property selection principles near coherence of filters


Bartoszynski, Tomek; Shelah, Saharon; Tsaban, Boaz. Additivity properties of topological diagonalizations. J. Symbolic Logic 68 (2003), no. 4, 1254--1260. doi:10.2178/jsl/1067620185.

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