Q-Sets, Δ-Sets, and L-Spaces
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912385747386368 |
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| author | Memarpanahi, Pourya Szeptycki, Paul |
| author_facet | Memarpanahi, Pourya Szeptycki, Paul |
| contents | The question whether there is a Lindelof Q-set space or Lindelof $Δ$-set space is considered. We show that J. Moore's ZFC $L$-space is not a Q-set space in ZFC and, assuming all Aronszajn trees are special, it is not a $Δ$-set space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_08298 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Q-Sets, Δ-Sets, and L-Spaces Memarpanahi, Pourya Szeptycki, Paul General Topology Primary 54D20, 54H05, 03E35, Secondary 03E75, 54E52, 54G20 The question whether there is a Lindelof Q-set space or Lindelof $Δ$-set space is considered. We show that J. Moore's ZFC $L$-space is not a Q-set space in ZFC and, assuming all Aronszajn trees are special, it is not a $Δ$-set space. |
| title | Q-Sets, Δ-Sets, and L-Spaces |
| topic | General Topology Primary 54D20, 54H05, 03E35, Secondary 03E75, 54E52, 54G20 |
| url | https://arxiv.org/abs/2501.08298 |