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

Access to Document

10.1016/j.aim.2005.01.012

Cite this

@article{d737c1e632eb484094e352b11c04f825,

title = "Nonreflecting stationary sets in Pκλ",

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+.",

keywords = "Nonstructure theory, Stationary reflection",

author = "Saharon Shelah and Masahiro Shioya",

year = "2006",

month = jan,

day = "15",

doi = "10.1016/j.aim.2005.01.012",

language = "אנגלית",

volume = "199",

pages = "185--191",

journal = "Advances in Mathematics",

issn = "0001-8708",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - Nonreflecting stationary sets in Pκλ

AU - Shelah, Saharon

AU - Shioya, Masahiro

PY - 2006/1/15

Y1 - 2006/1/15

N2 - 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+.

AB - 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+.

KW - Nonstructure theory

KW - Stationary reflection

UR - https://www.scopus.com/pages/publications/30944450186

U2 - 10.1016/j.aim.2005.01.012

DO - 10.1016/j.aim.2005.01.012

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:30944450186

SN - 0001-8708

VL - 199

SP - 185

EP - 191

JO - Advances in Mathematics

JF - Advances in Mathematics

IS - 1

ER -

Nonreflecting stationary sets in P_κλ

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this