Article

A result on monotonically Lindelöf generalized ordered spaces

Published in: Quaestiones Mathematicae
Volume 39 , issue 6 , 2016 , pages: 727–732

DOI: 10.2989/16073606.2015.1129997

Author(s): Guo-Fang Zhang College of Mathematics, P.R. China , Ai-Jun Xu Department of Applied Mathematics, P.R. China

Keywords: 54F05 , 54D20 , 54F05 , 54D20

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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.

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Spectral analysis of the Direct Sum Hamiltonian Operators »