Distinguishing internally club and approachable on an Infinite interval

Type: Article
Publication Date: 2025-02-21
Citations: 0
DOI: https://doi.org/10.1112/blms.70013

Abstract

Abstract Krueger 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.

Locations

  • Bulletin of the London Mathematical Society

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