| Title: | On the interplay between productively Menger and productively Hurewicz spaces in models of ▫$\mathfrak{b} = \mathfrak{d}$▫ |
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| Authors: | ID Repovš, Dušan (Author)
ID Zdomskyy, Lyubomyr (Author) |
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| Files: |  PDF - Presentation file, download (488,72 KB)
MD5: 3AB14585F0B10428B1204A8578677134
 URL - Source URL, visit https://www.sciencedirect.com/science/article/pii/S0166864125001701
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: |  IMFM - Institute of Mathematics, Physics, and Mechanics
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| Abstract: | 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. |
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| Keywords: | Menger space, Hurewicz space, Laver forcing, CH, preservation by products |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 01.10.2025 |
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| Year of publishing: | 2025 |
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| Number of pages: | 7 str. |
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| Numbering: | Vol. 371, [article no.] 109372 |
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| PID: | 20.500.12556/DiRROS-22988  |
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| UDC: | 510.3:515.1 |
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| ISSN on article: | 0166-8641 |
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| DOI: | 10.1016/j.topol.2025.109372 |
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| COBISS.SI-ID: | 229531139 |
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| Publication date in DiRROS: | 15.07.2025 |
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| Views: | 309 |
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| Downloads: | 203 |
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| Metadata: |    |
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