LOCAL CLUB CONDENSATION AND L-LIKENESS
文献类型：期刊论文
| 作者 | Holy, Peter1; Welch, Philip2; Wu, Liuzhen3
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| 刊名 | JOURNAL OF SYMBOLIC LOGIC
 |
| 出版日期 | 2015-12-01 |
| 卷号 | 80期号:4页码:1361-1378 |
| 关键词 | Condensation L-like model Square Chang's Conjecture Forcing Erdos cardinal Interleaving Structures |
| ISSN号 | 0022-4812 |
| DOI | 10.1017/jsl.2015.6 |
| 英文摘要 | We present a forcing to obtain a localized version of Local Club Condensation, a generalized Condensation principle introduced by Sy Friedman and the first author in [3] and [5]. This forcing will have properties nicer than the forcings to obtain this localized version that could be derived from the forcings presented in either [3] or [5]. We also strongly simplify the related proofs provided in [3] and [5]. Moreover our forcing will be capable of introducing this localized principle at kappa while simultaneously performing collapses to make kappa become the successor of any given smaller regular cardinal. This will be particularly useful when kappa has large cardinal properties in the ground model. We will apply this to measure how much L-likeness is implied by Local Club Condensation and related principles. We show that Local Club Condensation at kappa(+) is consistent with inverted left perpendicular square(kappa) whenever kappa is regular and uncountable, generalizing and improving a result of the third author in [14], and that if kappa >= omega(2) is regular, CC(kappa(+)) - Chang's Conjecture at kappa(+) - is consistent with Local Club Condensation at kappa(+), both under suitable large cardinal consistency assumptions. |
| 资助项目 | EPSRC[EP/J005630/1] ; FWF[P23875-N13] ; CNSF[11321101] |
| WOS研究方向 | Mathematics ; Science & Technology - Other Topics |
| 语种 | 英语 |
| WOS记录号 | WOS:000367382200015 |
| 出版者 | CAMBRIDGE UNIV PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/21682]  |
| 专题 | 数学所 |
| 通讯作者 | Holy, Peter |
| 作者单位 | 1.Univ Bonn, Math Inst, D-53115 Bonn, Germany 2.Univ Bristol, Dept Math, Bristol BS8 1TW, Avon, England 3.Chinese Acad Sci, Inst Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Holy, Peter,Welch, Philip,Wu, Liuzhen. LOCAL CLUB CONDENSATION AND L-LIKENESS[J]. JOURNAL OF SYMBOLIC LOGIC,2015,80(4):1361-1378. |
| APA | Holy, Peter,Welch, Philip,&Wu, Liuzhen.(2015).LOCAL CLUB CONDENSATION AND L-LIKENESS.JOURNAL OF SYMBOLIC LOGIC,80(4),1361-1378. |
| MLA | Holy, Peter,et al."LOCAL CLUB CONDENSATION AND L-LIKENESS".JOURNAL OF SYMBOLIC LOGIC 80.4(2015):1361-1378. |
入库方式： OAI收割
来源：数学与系统科学研究院
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