Strongly Baire trees and a Cofinal Branch Principle

CSpace

	Strongly Baire trees and a Cofinal Branch Principle
	Feng, Q
	2000
发表期刊	ISRAEL JOURNAL OF MATHEMATICS
ISSN	0021-2172
卷号	117 页码:71-92
摘要	We study strongly Baire trees. The Cofinal Branch Principle is the statement that every strongly Baire tree of height w(1) has a cofinal branch. We show that this principle implies that the strong reflection principle holds, there are no Souslin trees and MA(+)(sigma-closed) holds. Also it follows from the Semiproper Forcing Axiom, and the Strong Reflection Principle does not imply the cofinal branch principle.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000087389400004
出版者	MAGNES PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15503
专题	中国科学院数学与系统科学研究院
通讯作者	Feng, Q
作者单位	Acad Sinica, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Feng, Q. Strongly Baire trees and a Cofinal Branch Principle[J]. ISRAEL JOURNAL OF MATHEMATICS,2000,117:71-92.
APA	Feng, Q.(2000).Strongly Baire trees and a Cofinal Branch Principle.ISRAEL JOURNAL OF MATHEMATICS,117,71-92.
MLA	Feng, Q."Strongly Baire trees and a Cofinal Branch Principle".ISRAEL JOURNAL OF MATHEMATICS 117(2000):71-92.