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A NOTE ON SPACES WITH A STRONG RANK 1-DIAGONAL

Part of: Spaces with richer structures Fairly general properties

Published online by Cambridge University Press:  20 November 2013

WEI-FENG XUAN  and
WEI-XUE SHI
WEI-FENG XUAN*
Affiliation:
Department of Mathematics, Nanjing University, Nanjing, 210093, PR China
WEI-XUE SHI
Affiliation:
Department of Mathematics, Nanjing University, Nanjing, 210093, PR China email wxshi@nju.edu.cn
*
✉xuanwf8@gmail.com
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Abstract

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We mainly prove that, assuming $\mathfrak{b}= \mathfrak{c}$, every regular star-compact space with a strong rank 1-diagonal is metrisable.

Keywords

star-compactstrong rank 1-diagonal

MSC classification

Secondary: 54D20: Noncompact covering properties (paracompact, Lindelöf, etc.) 54E35: Metric spaces, metrizability
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 89 , Issue 3 , June 2014 , pp. 510 - 513
Copyright
Copyright ©2013 Australian Mathematical Publishing Association Inc. 

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