Products of Hurewicz spaces in the Laver model

Repovš, Dušan (author), Zdomskyy, Lyubomyr (author)

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.

• Language: English
• Keywords: Menger space, Hurewicz space, semifilter, Laver forcing, independent family
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Year: 2017
• Number of pages: Str. 324-333
• Numbering: Vol. 23, no. 3
• PID: 20.500.12556/RUL-110522
• UDC: 515.122:510.3
• ISSN on article: 1079-8986
• DOI: 10.1017/bsl.2017.24
• COBISS.SI-ID: 18191961
• Publication date in RUL: 16.09.2019

Record is a part of a journal

• Title: Bulletin of symbolic logic
• Shortened title: Bull. symb. log.
• Publisher: Association for Symbolic Logic
• ISSN: 1079-8986
• COBISS.SI-ID: 3675481