A high dimensional Open Coloring Axiom

doi:10.1002/malq.200510003

CSpace

	A high dimensional Open Coloring Axiom
	He, B
	2005
发表期刊	MATHEMATICAL LOGIC QUARTERLY
ISSN	0942-5616
卷号	51 期号:5 页码:462-469
摘要	We prove a partition theorem for analytic sets, namely, if X is an analytic set in a Polish space and [X](n) = K-0 boolean OR K-1 with K-0 open in the relative topology, and the partition satisfies a finitary condition, then either there is a perfect K-0-homogeneous subset or X is a countable union of K-1-homogeneous subsets. We also prove a partition theorem for analytic sets in the three-dimensional case. Finally, we give some applications of the theorems. (c) 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
关键词	homogeneity open coloring
DOI	10.1002/malq.200510003
语种	英语
WOS研究方向	Mathematics ; Science & Technology - Other Topics
WOS类目	Mathematics ; Logic
WOS记录号	WOS:000231796700004
出版者	WILEY-V C H VERLAG GMBH
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1722
专题	中国科学院数学与系统科学研究院
通讯作者	He, B
作者单位	1.Chinese Acad Sci, Inst Math, AMSS, Beijing 100080, Peoples R China 2.Beijing Univ Technol, Dept Appl Math, Beijing 100022, Peoples R China
推荐引用方式 GB/T 7714	He, B. A high dimensional Open Coloring Axiom[J]. MATHEMATICAL LOGIC QUARTERLY,2005,51(5):462-469.
APA	He, B.(2005).A high dimensional Open Coloring Axiom.MATHEMATICAL LOGIC QUARTERLY,51(5),462-469.
MLA	He, B."A high dimensional Open Coloring Axiom".MATHEMATICAL LOGIC QUARTERLY 51.5(2005):462-469.