Article ID Journal Published Year Pages File Type
5777745 Topology and its Applications 2017 14 Pages PDF
Abstract
In this paper, we discuss the lexicographic ordered topologies on some products. We mainly prove: (1) The lexicographic ordered space λγ is base-normal for any ordinals λ and γ. (2) The lexicographic ordered space [0,1)γ is Lindelöf for each ordinal γ≤ω1. (3) The lexicographic ordered space λγ is Lindelöf for any λ<ω1 and γ≤ω1.
Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology
Authors
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