On the interplay between productively Menger and productively Hurewicz spaces in models of $\mathfrak b=\mathfrak d$
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916843443191808 |
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| author | Repovš, Dušan D. Zdomskyy, Lyubomyr |
| author_facet | Repovš, Dušan D. Zdomskyy, Lyubomyr |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_17969 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the interplay between productively Menger and productively Hurewicz spaces in models of $\mathfrak b=\mathfrak d$ Repovš, Dušan D. Zdomskyy, Lyubomyr General Topology Logic Primary: 03E35, 54D20, Secondary: 03E05, 03E17 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. |
| title | On the interplay between productively Menger and productively Hurewicz spaces in models of $\mathfrak b=\mathfrak d$ |
| topic | General Topology Logic Primary: 03E35, 54D20, Secondary: 03E05, 03E17 |
| url | https://arxiv.org/abs/2503.17969 |