On reflection principles at small uncountable cardinals
On reflection principles at small uncountable cardinals
批准号:
23740076
负责人:
SAKAI Hiroshi
金额:
$2.16万
依托单位:
依托单位国家:
日本
项目类别:
Grant-in-Aid for Young Scientists (B)
财政年份:
2011
资助国家:
日本
项目状态:
已结题
起止时间:
2011 至 2013
中文摘要
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英文摘要
I investigated reflection principles at small uncountable cardinals, in particular, their consistencies and their relationships with infinite combinatorics, forcing axioms and large cardinal axioms. Among other things, the following results were obtained: (1) I clarified how weak square principles are denied by each reflection principle at omega 2. (2) By showing that the forcing axiom MA+ (sigma-closed) does not follow from any variation of stationary reflection principles at omega 2, I clarified the difference between reflection principles and forcing axioms. (3) It was proved that in L there is a correspondence between hierarchies of stationary reflection principles and indescribable cardinals.
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发表时间:
期刊:
影响因子:
--
作者:
[]
通讯作者:
On proofs of the incompleteness theorems based on Berry's paradox by Vopenka, Chaitin, and Boolos
Vopenka、Chaitin 和 Boolos 基于 Berry 悖论的不完备性定理的证明
DOI:
--
发表时间:
2012
期刊:
Mathematical Logic Quarterly
影响因子:
0.3
作者:
[M. Kikuchi, T. Kurahashi and H. Sakai]
通讯作者:
T. Kurahashi and H. Sakai
定常性反映原理と半定常性反映原理
平稳性反射原理和半平稳性反射原理
DOI:
--
发表时间:
期刊:
影响因子:
--
作者:
[Takeshi Matsuda, Daiki Koizumi, MichioSonoda, 酒井 拓史]
通讯作者:
酒井 拓史
DOI:
10.1017/s1474748013000315
发表时间:
2013-01
期刊:
Journal of the Institute of Mathematics of Jussieu
影响因子:
0.9
作者:
[Hiroshi Sakai;B. Velickovic]
通讯作者:
Hiroshi Sakai;B. Velickovic
Partial square at omega_1 is implied by MM but not by PFA
MM 暗示 omega_1 处的部分平方,但 PFA 不暗示
DOI:
--
发表时间:
2011
期刊:
Fundamenta Mathematicae
影响因子:
0.6
作者:
[千葉 周也, R. Cada, 小関 健太, P. Vrana, 善本 潔, H. Sakai]
通讯作者:
H. Sakai
共 16 条
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a research about historical significance of the peace talks in a small island of Okinwa during the Pacific War
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Development of nanocapsule containing MRI contrast agent effective for early diagnosis of pancreatic cancer
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A development of novel decomposition technology for NDMA by short wavelength UV lamp
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Surface chemical study on mucin for application to textile processing
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A New Stage of Rough Sets Incomplete Information Analysis and Its application t Data Mining
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A Generation of a Rough Sets Based Data Mining Tool for a Wide Variety of Data and Its Application
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An Implementation of Rough Information Analysis Tool and Its Application to Data by Questionnaires
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Study on Infrared Spectrophotometer for Langmuir monolayer
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Analysis of a novel mode of action of the dipteran-specific insecticidal protein
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批准号:13836008
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Structural and functional analysis of pullulan hydrolyzing alpha-amylase and conversion of the substrate specificity
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Analysis of mechanisms of male differentiation with sex determining genes in mammals
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批准号:04454107
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财政年份:1992
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Mossbauer Spectroscopic Studies of Super-ionic Conductors
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Examination of Signals for Initiation of DNA Synthesis on Single Strand, and their Consensus Nucleotide Sequences
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依托单位:
海外基金