Reflection principles for uω2and the semi-stationary reflection principle

Toshimichi Usuba

doi:10.2969/jmsj/06831081

Reflection principles for uω₂and the semi-stationary reflection principle

Toshimichi Usuba^*

^*この研究の対応する著者

研究成果 › 査読

1 被引用数 (Scopus)

抄録

Starting from a model with a weakly compact cardinal, we construct a model in which the weak stationary reflection principle for uω₂ holds but the Fodor-type reflection principle for uω₂ fails. So the stationary reflection principle for uω₂ fails in this model. We also construct a model in which the semi-stationary reflection principle holds but the Fodor-type reflection principle for uω₂ fails.

本文言語	English
ページ（範囲）	1081-1098
ページ数	18
ジャーナル	Journal of the Mathematical Society of Japan
巻	68
号	3
DOI	https://doi.org/10.2969/jmsj/06831081
出版ステータス	Published - 2016
外部発表	はい

ASJC Scopus subject areas

数学 (全般)

文献へのアクセス

10.2969/jmsj/06831081

他のファイルとリンク

引用スタイル

@article{fb5afd2ba457462eba407b634c5e2bc3,

title = "Reflection principles for uω2and the semi-stationary reflection principle",

abstract = "Starting from a model with a weakly compact cardinal, we construct a model in which the weak stationary reflection principle for uω2 holds but the Fodor-type reflection principle for uω2 fails. So the stationary reflection principle for uω2 fails in this model. We also construct a model in which the semi-stationary reflection principle holds but the Fodor-type reflection principle for uω2 fails.",

keywords = "Fodortype reflection principle., Semi-stationary reflection principle",

author = "Toshimichi Usuba",

note = "Publisher Copyright: {\textcopyright} 2016 The Mathematical Society of Japan.",

year = "2016",

doi = "10.2969/jmsj/06831081",

language = "English",

volume = "68",

pages = "1081--1098",

journal = "Journal of the Mathematical Society of Japan",

issn = "0025-5645",

publisher = "Mathematical Society of Japan - Kobe University",

number = "3",

}

TY - JOUR

T1 - Reflection principles for uω2and the semi-stationary reflection principle

AU - Usuba, Toshimichi

PY - 2016

Y1 - 2016

N2 - Starting from a model with a weakly compact cardinal, we construct a model in which the weak stationary reflection principle for uω2 holds but the Fodor-type reflection principle for uω2 fails. So the stationary reflection principle for uω2 fails in this model. We also construct a model in which the semi-stationary reflection principle holds but the Fodor-type reflection principle for uω2 fails.

AB - Starting from a model with a weakly compact cardinal, we construct a model in which the weak stationary reflection principle for uω2 holds but the Fodor-type reflection principle for uω2 fails. So the stationary reflection principle for uω2 fails in this model. We also construct a model in which the semi-stationary reflection principle holds but the Fodor-type reflection principle for uω2 fails.

KW - Fodortype reflection principle.

KW - Semi-stationary reflection principle

UR - http://www.scopus.com/inward/record.url?scp=84979701635&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84979701635&partnerID=8YFLogxK

U2 - 10.2969/jmsj/06831081

DO - 10.2969/jmsj/06831081

M3 - Article

AN - SCOPUS:84979701635

VL - 68

SP - 1081

EP - 1098

JO - Journal of the Mathematical Society of Japan

JF - Journal of the Mathematical Society of Japan

SN - 0025-5645

IS - 3

ER -