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A result on monotonically Lindelöf generalized ordered spaces


Guo-Fang Zhang
Ai-Jun Xu

Abstract

In this paper, we show that a generalized ordered space representable as the union of two closed monotonically Lindelöf subspaces is monotonically Lindelöf, which partially answers a question [7, Question 2] of Levy and Matveev. In addition, we show that the monotone Lindelöf property is hereditary with respect to open Lindelöf subsets in generalized ordered spaces.

Keywords: Lindelöf, monotonically Lindelöf, generalized ordered spaces


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eISSN: 1727-933X
print ISSN: 1607-3606