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Menger's covering property and groupwise density

Published online by Cambridge University Press:  12 March 2014

Boaz Tsaban  and
Lyubomyr Zdomskyy
Boaz Tsaban
Affiliation:
Department of Mathematics, The Weizmann Institute of Science, Rehovot 76100, Israel.E-mail:boaz.tsaban@weizmann.ac.il, URL:http://www.cs.biu.ac.il/~tsaban
Lyubomyr Zdomskyy
Affiliation:
Department of Mechanics and Mathematics, Ivan Franko Lviv National University, Universytetska 1, Lviv 79000, Ukraine.E-mail:lzdomsky@rambler.ru
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Abstract

We establish a surprising connection between Menger's classical covering property and Blass-Laflamme's modern combinatorial notion of groupwise density. This connection implies a short proof of the groupwise density bound on the additivity number for Menger's property.

Keywords

Menger propertygroupwise density
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 71 , Issue 3 , September 2006 , pp. 1053 - 1056
Copyright
Copyright © Association for Symbolic Logic 2006

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References

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