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PRODUCTS OF HUREWICZ SPACES IN THE LAVER MODEL

Published online by Cambridge University Press:  04 December 2017

DUŠAN REPOVŠ  and
LYUBOMYR ZDOMSKYY
DUŠAN REPOVŠ
Affiliation:
FACULTY OF EDUCATION, AND FACULTY OF MATHEMATICS AND PHYSICS UNIVERSITY OF LJUBLJANA LJUBLJANA1000, SLOVENIAE-mail: [email protected]: http://www.fmf.uni-lj.si/∼repovs/index.htm
LYUBOMYR ZDOMSKYY
Affiliation:
KURT GÖDEL RESEARCH CENTER FOR MATHEMATICAL LOGIC UNIVERSITY OF VIENNA, WÄHRINGER STRASSE 25 A-1090 WIEN, AUSTRIAE-mail: [email protected]: http://www.logic.univie.ac.at/∼lzdomsky/
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Abstract

This article is devoted to the interplay between forcing with fusion and combinatorial covering properties. We illustrate this interplay by proving that in the Laver model for the consistency of the Borel’s conjecture, the product of any two metrizable spaces with the Hurewicz property has the Menger property.

Keywords

Primary 03E3554D20Secondary 54C5003E05Menger spaceHurewicz spacesemifilterLaver forcing
Type
Articles
Information
Bulletin of Symbolic Logic , Volume 23 , Issue 3 , September 2017 , pp. 324 - 333
Copyright
Copyright © The Association for Symbolic Logic 2017 

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