Nonreflecting stationary sets in Pκλ

Saharon Shelah; Masahiro Shioya

doi:10.1016/j.aim.2005.01.012

Nonreflecting stationary sets in P_κλ

Saharon Shelah^*, Masahiro Shioya

^*Corresponding author for this work

Einstein Institute of Mathematics

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

4 Scopus citations

Abstract

Let κ be a regular uncountable cardinal and λ ≥ κ⁺. The principle of Stationary Reflection in P_κλ has been successful in settling problems of infinitary combinatorics in the case κ = ω₁. For κ ≥ ω₂ the principle is known to fail if λ is large enough. In this paper the principle is shown to fail for every λ ≥ κ⁺.

Original language	English
Pages (from-to)	185-191
Number of pages	7
Journal	Advances in Mathematics
Volume	199
Issue number	1
DOIs	https://doi.org/10.1016/j.aim.2005.01.012
State	Published - 15 Jan 2006

Keywords

Nonstructure theory
Stationary reflection

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10.1016/j.aim.2005.01.012

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abstract = "Let κ be a regular uncountable cardinal and λ ≥ κ+. The principle of Stationary Reflection in Pκλ has been successful in settling problems of infinitary combinatorics in the case κ = ω1. For κ ≥ ω2 the principle is known to fail if λ is large enough. In this paper the principle is shown to fail for every λ ≥ κ+.",

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Nonreflecting stationary sets in P_κλ

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Keywords

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