On the interplay between productively Menger and productively Hurewicz spaces in models of b = d

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

This article is devoted to the interplay between productively Menger and productively Hurewicz subspaces of the Cantor space. In particular, we show that in the Laver model for the consistency of the Borel's conjecture these two notions coincide and characterize Hurewicz spaces. On the other hand, it is consistent with CH that there are productively Hurewicz subspaces of the Cantor space which are not productively Menger.

• Language: English
• Keywords: Menger space, Hurewicz space, Laver forcing, CH, preservation by products
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics; PEF - Faculty of Education
• Publication status: Published
• Publication version: Version of Record
• Publication date: 01.10.2025
• Year: 2025
• Number of pages: 7 str.
• Numbering: Vol. 371, article no. 109372
• PID: 20.500.12556/RUL-170756
• UDC: 510.3:515.1
• ISSN on article: 0166-8641
• DOI: 10.1016/j.topol.2025.109372
• COBISS.SI-ID: 229531139
• Publication date in RUL: 15.07.2025

Record is a part of a journal

• Title: Topology and its Applications
• Shortened title: Topol. appl.
• Publisher: Elsevier
• ISSN: 0166-8641
• COBISS.SI-ID: 26538752

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.