Coherent trees that are not Countryman

doi:10.1007/s00153-017-0530-2

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	Coherent trees that are not Countryman
	Peng, Yinhe
	2017-05-01
发表期刊	ARCHIVE FOR MATHEMATICAL LOGIC
ISSN	0933-5846
卷号	56 期号:3-4 页码:237-251
摘要	First, we show that every coherent tree that contains a Countryman suborder is R-embeddable when restricted to a club. Then for a linear order O that can not be embedded into omega, there exists (consistently) an R-embeddable O-ranging coherent tree which is not Countryman. And for a linear order O' that can not be embedded into Z, there exists (consistently) an R-embeddable O'-ranging coherent tree which contains no Countryman suborder. Finally, we will see that this is the best we can do.
关键词	Countryman Coherent Minimal walk Lexicographical order
DOI	10.1007/s00153-017-0530-2
语种	英语
WOS研究方向	Mathematics ; Science & Technology - Other Topics
WOS类目	Mathematics ; Logic
WOS记录号	WOS:000399198400004
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25225
专题	中国科学院数学与系统科学研究院
通讯作者	Peng, Yinhe
作者单位	Chinese Acad Sci, Inst Math, East Zhong Guan Cun Rd 55, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Peng, Yinhe. Coherent trees that are not Countryman[J]. ARCHIVE FOR MATHEMATICAL LOGIC,2017,56(3-4):237-251.
APA	Peng, Yinhe.(2017).Coherent trees that are not Countryman.ARCHIVE FOR MATHEMATICAL LOGIC,56(3-4),237-251.
MLA	Peng, Yinhe."Coherent trees that are not Countryman".ARCHIVE FOR MATHEMATICAL LOGIC 56.3-4(2017):237-251.