Graph Closures and Metric Compactifications of Tv
نویسنده
چکیده
It is shown that all compactifications of the positive integers N which have metrizable remainders are themselves metrizable. This is done by first proving that each Hausdorff compactification of a noncompact locally compact space is the graph closure in an appropriate space. It is then shown that any two compactifications of N which have homeomorphic metrizable remainders are homeomorphic.
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تاریخ انتشار 2010