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

REFERENCES

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