Preservation of Topological Properties by Strongly Proper Forcings
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912056271175680 |
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| author | Gilton, Thomas Holshouser, Jared |
| author_facet | Gilton, Thomas Holshouser, Jared |
| contents | In this paper we show that forcings which are strongly proper for stationarily many countable elementary submodels preserve each of the following properties of topological spaces: countably tight; Lindelöf; Rothberger; Menger; and a strategic version of Rothberger. This extends results from Dow, as well as from Iwasa and from Kada. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_02495 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Preservation of Topological Properties by Strongly Proper Forcings Gilton, Thomas Holshouser, Jared Logic General Topology In this paper we show that forcings which are strongly proper for stationarily many countable elementary submodels preserve each of the following properties of topological spaces: countably tight; Lindelöf; Rothberger; Menger; and a strategic version of Rothberger. This extends results from Dow, as well as from Iwasa and from Kada. |
| title | Preservation of Topological Properties by Strongly Proper Forcings |
| topic | Logic General Topology |
| url | https://arxiv.org/abs/2408.02495 |