Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5777745 | Topology and its Applications | 2017 | 14 Pages |
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 γâ¤Ï1. (3) The lexicographic ordered space λγ is Lindelöf for any λ<Ï1 and γâ¤Ï1.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Lei Mou,