The Nachbin Compactification via Convergence Ordered Spaces
نویسنده
چکیده
منابع مشابه
Posets of Ordered Compactifications
If (X ′, τ ′,≤′) is an ordered compactification of the partially ordered topological space (X, τ,≤) such that ≤′ is the smallest order that renders (X ′, τ ′,≤′) a T2-ordered compactification of X, then X ′ is called a Nachbin(or order-strict) compactification of (X, τ,≤). If (X ′, τ ′,≤∗) is a finite-point ordered compactification of (X, τ,≤), the Nachbin order ≤′ for (X ′, τ ′) is described i...
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We describe the semilattice of ordered compactifications ofX×Y smaller than βoX×βoY whereX and Y are certain totally ordered topological spaces, and where βoZ denotes the Stone–Čech orderedor Nachbin-compactification of Z. These basic cases are used to illustrate techniques for describing the semilattice of ordered compactifications ofX×Y smaller than βoX×βoY for arbitrary totally ordered topol...
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Salbany, S. and T. Todorov, Nonstandard and standard cornpactifications of ordered topological spaces, Topology and its Applications 47 (1992) 35-52. We construct the Nachbin ordered compactification and the ordered realcornpactification, a notion defined in the paper, of a given ordered topological space as nonstandard ordered hulls. The maximal ideals in the algebras of the differences of mon...
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