1. Ti-ordered reflections
- Author
-
Hans-Peter A. Künzi and Thomas A. Richmond
- Subjects
Ordered topological space ,T2-ordered ,T1-ordered ,T0-ordered ,Ordered reflection ,Ordered quotient ,Mathematics ,QA1-939 ,Analysis ,QA299.6-433 - 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.
- Published
- 2005
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