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Monotone insertion of semi-continuous maps to ordered topological vector spaces.

Authors :
Jin, Ying-Ying
Xie, Li-Hong
Yue, Hong-Wei
Source :
Topology & Its Applications. Aug2017, Vol. 226, p120-133. 14p.
Publication Year :
2017

Abstract

In this paper, we consider the problem of inserting semi-continuous maps with values into some ordered topological vector spaces in a monotone fashion. We answer the questions of K. Yamazaki and provide a new characterization of stratifiable spaces, semi-stratifiable spaces, countably paracompact spaces, countably metacompact spaces, perfect spaces, and perfectly normal spaces during this process. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01668641
Volume :
226
Database :
Academic Search Index
Journal :
Topology & Its Applications
Publication Type :
Academic Journal
Accession number :
123503556
Full Text :
https://doi.org/10.1016/j.topol.2017.05.003