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The Journal of Symbolic Logic The Journal of Symbolic Logic

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Additivity properties of topological diagonalizations

Published online by Cambridge University Press:  12 March 2014

Tomek Bartoszynski ,
Saharon Shelah  and
Boaz Tsaban
Tomek Bartoszynski
Affiliation:
Department of Mathematics, Boise State University, Boise, Idaho 83725, USA, E-mail: tomek@math.boisestate.edu, URL: http://math.boisestate.edu/~tomek
Saharon Shelah
Affiliation:
Mathematics Department, Rutgers University, New Brunswick, NJ 08903, USA, E-mail: shelah@math.huji.ac.il, URL: http://math.rutgers.edu/~shelah
Boaz Tsaban
Affiliation:
Department of Mathematics and Computer Science, Bar-Ilan University, Ramat-Gan 52900, Israel, E-mail: tsaban@macs.biu.ac.il, URL: http://www.cs.biu.ac.il/~tsaban
Corresponding
E-mail address:
tomek@math.boisestate.edu
shelah@math.huji.ac.il
tsaban@macs.biu.ac.il
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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.

Keywords

Menger property Hurewicz property selection principles near coherence of filters
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 68 , Issue 4 , December 2003 , pp. 1254 - 1260
Copyright
Copyright © Association for Symbolic Logic 2003

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References

[1] Bartoszynski, I., Shelah, S., and Tsaban, B., Additivity properties of topological diagonalizations, (full version). Available at http://arxiv.org/abs/math.LO/0112262.Google Scholar
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