Distinguishing internally club and approachable on an Infinite interval
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Wiley Open Access
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| Formato: | Artículo Open Access |
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Wiley
2025
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| _version_ | 1867020035620339712 |
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| author | Hannes Jakob Maxwell Levine |
| author_facet | Hannes Jakob Maxwell Levine Hannes Jakob Maxwell Levine |
| collection | Wiley Open Access |
| contents | Distinguishing internally club and approachable on an Infinite interval Hannes Jakob Maxwell Levine Bulletin of the London Mathematical Society AbstractKrueger showed that implies that for all regular , there are stationarily many that are internally club but not internally approachable. From countably many Mahlo cardinals, we force a model in which, for all positive and , there is a stationary subset of consisting of sets that are internally club but not internally approachable. The theorem is obtained using a new variant of Mitchell forcing. This answers questions of Krueger. 10.1112/blms.70013 http://creativecommons.org/licenses/by/4.0/ |
| doi_str_mv | 10.1112/blms.70013 |
| format | Artículo Open Access |
| id | wiley_oa_10_1112_blms_70013 |
| institution | Wiley Open Access |
| license_str_mv | http://creativecommons.org/licenses/by/4.0/ |
| publishDate | 2025 |
| publisher | Wiley |
| record_format | wiley_oa |
| spellingShingle | Distinguishing internally club and approachable on an Infinite interval Hannes Jakob Maxwell Levine Bulletin of the London Mathematical Society Distinguishing internally club and approachable on an Infinite interval Hannes Jakob Maxwell Levine Bulletin of the London Mathematical Society AbstractKrueger showed that implies that for all regular , there are stationarily many that are internally club but not internally approachable. From countably many Mahlo cardinals, we force a model in which, for all positive and , there is a stationary subset of consisting of sets that are internally club but not internally approachable. The theorem is obtained using a new variant of Mitchell forcing. This answers questions of Krueger. 10.1112/blms.70013 http://creativecommons.org/licenses/by/4.0/ |
| title | Distinguishing internally club and approachable on an Infinite interval |
| topic | Bulletin of the London Mathematical Society |
| url | https://londmathsoc.onlinelibrary.wiley.com/doi/10.1112/blms.70013 |