Nonstandard and standard compactifications of ordered topological spaces
نویسندگان
چکیده
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 monotone continuous functions are completely described. We give also a characterization of the class of completely regular ordered spaces which are closed subspaces of products of copies of the ordered real line, answering a question of T.H. Choe and Y.H. Hong. The methods used are topological (standard) and nonstandard.
منابع مشابه
Ordered Compactifications, Galois Connections, and Quasi-uniformities
I would like to thank the organizers of the UNISA Topology Workshop, Koena Rufus Nailana and Sergio Salbany, for doing an excellent job acquiring funding, making arrangements, and especially for assembling an enthusiastic group of participants. An ordered topological space (X, τ,≤) is a set X with a topology τ and a partial order ≤. We usually assume some forms of compatibility between the topo...
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تاریخ انتشار 2011