A Lindelof group with non-Lindelof square

doi:10.1016/j.aim.2017.11.021

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	A Lindelof group with non-Lindelof square
	Peng, Yinhe 1; Wu, Liuzhen2
	2018-02-05
发表期刊	ADVANCES IN MATHEMATICS
ISSN	0001-8708
卷号	325 页码:215-242
摘要	We show that the Lindelof property of a topological group is not inherited by its square, thus solving an old problem from [2]. Our construction introduces a new method to this area of mathematics and is of independent interest as it may have some further applications. Our method builds on ideas of [11] and techniques from [20] and give us also an optimal result about the partition properties on omega(1) (C) 2017 Elsevier Inc. All rights reserved.
关键词	Minimal walk Lindelof topological group Strong negative partition relation L space
DOI	10.1016/j.aim.2017.11.021
语种	英语
资助项目	CNSF[11321101]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000423780100007
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/29466
专题	数学所
通讯作者	Peng, Yinhe; Wu, Liuzhen
作者单位	1.Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada 2.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,Wu, Liuzhen. A Lindelof group with non-Lindelof square[J]. ADVANCES IN MATHEMATICS,2018,325:215-242.
APA	Peng, Yinhe,&Wu, Liuzhen.(2018).A Lindelof group with non-Lindelof square.ADVANCES IN MATHEMATICS,325,215-242.
MLA	Peng, Yinhe,et al."A Lindelof group with non-Lindelof square".ADVANCES IN MATHEMATICS 325(2018):215-242.