Bull. Aust. Math. Soc.
 2011
DOI: 10.1017/s0004972711002504
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A Result on Monotonically Lindelöf Generalized Ordered Spaces

Ai-Jun Xu1,
Wei-Xue Shi2

Abstract: In this paper, we show that the character of any monotonically Lindelöf generalized ordered (GO) space is not greater than ω 1 , which gives a negative answer to a question posed by Levy and Matveev ['Some questions on monotone Lindelöfness', Questions Answers Gen. Topology 26 (2008), 13-27, Question 51].

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