Dušan Repovš (Author), Lyubomyr Zdomskyy (Author)

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

Menger space;Hurewicz space;semifilter;Laver forcing;independent family;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL PEF - Faculty of Education
UDC: 515.122:510.3
COBISS: 18191961 Link will open in a new window
ISSN: 1079-8986
Views: 473
Downloads: 401
Average score: 0 (0 votes)
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Other data

Type (COBISS): Article
Pages: str. 324-333
Volume: ǂVol. ǂ23
Issue: ǂno. ǂ3
Chronology: Sept. 2017
DOI: 10.1017/bsl.2017.24
ID: 11225336