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A Lindelof group with non-Lindelof square
Peng, Yinhe1; Wu, Liuzhen2
2018-02-05
Source PublicationADVANCES IN MATHEMATICS
ISSN0001-8708
Volume325Pages:215-242
AbstractWe 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.
KeywordMinimal walk Lindelof topological group Strong negative partition relation L space
DOI10.1016/j.aim.2017.11.021
Language英语
Funding ProjectCNSF[11321101]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000423780100007
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/29466
Collection数学所
Affiliation1.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
Recommended Citation
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.
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