Rudin-Keisler capturing and mutual stationary at successors of singulars

Dominik Adolf; Omer Ben-Neria

doi:10.1142/s0219061325500199

Rudin-Keisler capturing and mutual stationary at successors of singulars

Dominik Adolf
, Omer Ben-Neria^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we introduce a combinatorial notion of measures called Rudin-Keisler capturing and use it to give a new construction of elementary substructures around singular cardinals. The new construction is used to establish mutual stationary results at the first successors of singular cardinals (N_ωn+1)n<w.

Original language	English
Article number	2550019
Journal	Journal of Mathematical Logic
DOIs	https://doi.org/10.1142/s0219061325500199
State	Accepted/In press - 2025

Bibliographical note

Publisher Copyright:
© 2025 World Scientific Publishing Company.

Keywords

Mutual stationarity
Prikry forcing
Rudin-Keisler capturing
generators

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10.1142/s0219061325500199

Cite this

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abstract = "In this paper, we introduce a combinatorial notion of measures called Rudin-Keisler capturing and use it to give a new construction of elementary substructures around singular cardinals. The new construction is used to establish mutual stationary results at the first successors of singular cardinals (Nωn+1)n",

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KW - Mutual stationarity

KW - Prikry forcing

KW - Rudin-Keisler capturing

KW - generators

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Rudin-Keisler capturing and mutual stationary at successors of singulars

Abstract

Bibliographical note

Keywords

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