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A RESULT ON MONOTONICALLY LINDELÖF GENERALIZED ORDERED SPACES

Part of: Special properties

Published online by Cambridge University Press:  18 August 2011

AI-JUN XU  and
WEI-XUE SHI
AI-JUN XU
Affiliation:
School of Mathematical Sciences, Nanjing Normal University, Nanjing 210046, PR China (email: ajxu@njfu.edu.cn)
WEI-XUE SHI*
Affiliation:
Department of Mathematics, Nanjing University, Nanjing 210093, PR China (email: wxshi@nju.edu.cn)
*
✉For correspondence; e-mail: wxshi@nju.edu.cn
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Abstract

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In this paper, we show that the character of any monotonically Lindelöf generalized ordered (GO) space is not greater than ω1, which gives a negative answer to a question posed by Levy and Matveev [‘Some questions on monotone Lindelöfness’, Questions Answers Gen. Topology26 (2008), 13–27, Question 51].

Keywords

monotonically Lindelöfgeneralized ordered spaces

MSC classification

Secondary: 54F05: Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 84 , Issue 3 , December 2011 , pp. 481 - 483
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

Footnotes

This work is supported by NSFC (no:10971092), NJFU (no:163101088).

References

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[4]Levy, R. and Matveev, M., ‘Some questions on monotone Lindelöfness’, Questions Answers Gen. Topology 26 (2008), 13–27.Google Scholar
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