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Additivity properties of topological diagonalizations

Published online by Cambridge University Press:  12 March 2014

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
*
Institute of Mathematics, Hebrew University of Jerusalem, Givat Ram, 91904 Jerusalem, Israel

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.

Type
Research Article
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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[12] Tsaban, B., A diagonalization property between Hurewicz and Menger, Real Analysis Exchange, vol. 27 (2001/2002), pp. 757763.CrossRefGoogle Scholar
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