Ti-ordered reflections
نویسندگان
چکیده
We present a construction which shows that the Tiordered reflection (i ∈ {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. 2000 AMS Classification: 54F05, 18B30, 54G20, 54B15, 54C99, 06F30
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