On Countable Stationary Towers

Yo Matsubara*, Toshimichi Usuba

*この研究の対応する著者

研究成果: Conference contribution

抄録

In this paper, we investigate properties of countable stationary towers. We derive the regularity properties of sets of reals in L(R) from some properties of countable stationary towers without explicit use of strong large cardinals such as Woodin cardinals. We also introduce the notion of semiprecipitousness and investigate its relation to precipitousness and presaturation of countable stationary towers. We show that precipitousness of countable stationary towers of weakly compact height implies the regularity properties of sets of reals in L(R).

本文言語English
ホスト出版物のタイトルAdvances in Mathematical Logic - Dedicated to the Memory of Professor Gaisi Takeuti, SAML 2018, Selected, Revised Contributions
編集者Toshiyasu Arai, Makoto Kikuchi, Satoru Kuroda, Mitsuhiro Okada, Teruyuki Yorioka
出版社Springer
ページ133-141
ページ数9
ISBN(印刷版)9789811641725
DOI
出版ステータスPublished - 2021
イベントSymposium on Advances in Mathematical Logic, SAML 2018 - Kobe, Japan
継続期間: 2018 9月 182018 9月 20

出版物シリーズ

名前Springer Proceedings in Mathematics and Statistics
369
ISSN(印刷版)2194-1009
ISSN(電子版)2194-1017

Conference

ConferenceSymposium on Advances in Mathematical Logic, SAML 2018
国/地域Japan
CityKobe
Period18/9/1818/9/20

ASJC Scopus subject areas

  • 数学 (全般)

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