On reflection of stationary sets in Pκλ

Thomas Jech; Saharon Shelah

doi:10.1090/s0002-9947-99-02448-4

On reflection of stationary sets in P_κλ

Thomas Jech^*, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

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

3 Scopus citations

Abstract

Let K be an inaccessible cardinal, and let E₀ = {x ∈ P_κκ⁺ : cf λ_x = cf K_x} and E₁ = {x ∈ Pκκ⁺ : K_x is regular and λ_x = K_x⁺}. It is consistent that the set E₁ is stationary and that every stationary subset of E₀ reflects at almost every a ∈ E₁.

Original language	English
Pages (from-to)	2507-2515
Number of pages	9
Journal	Transactions of the American Mathematical Society
Volume	352
Issue number	6
DOIs	https://doi.org/10.1090/s0002-9947-99-02448-4
State	Published - 2000

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title = "On reflection of stationary sets in Pκλ",

abstract = "Let K be an inaccessible cardinal, and let E0 = {x ∈ Pκκ+ : cf λx = cf Kx} and E1 = {x ∈ Pκκ+ : Kx is regular and λx = Kx+}. It is consistent that the set E1 is stationary and that every stationary subset of E0 reflects at almost every a ∈ E1.",

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N2 - Let K be an inaccessible cardinal, and let E0 = {x ∈ Pκκ+ : cf λx = cf Kx} and E1 = {x ∈ Pκκ+ : Kx is regular and λx = Kx+}. It is consistent that the set E1 is stationary and that every stationary subset of E0 reflects at almost every a ∈ E1.

AB - Let K be an inaccessible cardinal, and let E0 = {x ∈ Pκκ+ : cf λx = cf Kx} and E1 = {x ∈ Pκκ+ : Kx is regular and λx = Kx+}. It is consistent that the set E1 is stationary and that every stationary subset of E0 reflects at almost every a ∈ E1.

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On reflection of stationary sets in P_κλ

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