Completely regularly ordered spaces versus T2-ordered spaces which are completely regular
نویسندگان
چکیده
منابع مشابه
Completely regularly ordered spaces versus T 2 - ordered spaces which are completely regular ✩
Schwarz and Weck-Schwarz have shown that a T2-ordered space (X, τ, ) whose underlying topological space (X, τ) is completely regular need not be a completely regularly ordered space (that is, T3.5 + T2-ordered T3.5-ordered). We show that a completely regular T2-ordered space need not be completely regularly ordered even under more stringent assumptions such as convexity of the topology. One exa...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2004
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(03)00162-7