Ti-ordered reflections

Hans-Peter A. Künzi, Thomas A. Richmond

Abstract

We present a construction which shows that the Ti-ordered reflection (i ϵ {0, 1, 2}) of a partially ordered topological space (X, , τ, ≤) exists and is an ordered quotient of (X, τ, ≤). We give an explicit construction of the T0-ordered reflection of an ordered topological space (X, τ, ≤), and characterize ordered topological spaces whose T0-ordered reflection is T1-ordered.


Keywords

Ordered topological space; T2-ordered; T1-ordered; T0-ordered; Ordered reflection; Ordered quotient

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References

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1. On some properties of $T_0$-ordered reflection
Sami Lazaar, Abdelouaheb Mhemdi
Applied General Topology  vol: 15  issue: 1  first page: 43  year: 2014  
doi: 10.4995/agt.2014.2144



Esta revista se publica bajo una licencia de Creative Commons Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional.

Universitat Politècnica de València

e-ISSN: 1989-4147   https://doi.org/10.4995/agt