Ordered Compactifications of Products of Two Totally Ordered Spaces
نویسندگان
چکیده
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 topological spaces X and Y . Such products X × Y provide many counterexamples in the theory of ordered compactifications. Mathematics Subject Classifications (1991): 54F05, 54D35, 06F30.
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ورودعنوان ژورنال:
- Order
دوره 16 شماره
صفحات -
تاریخ انتشار 1999