The compactificability classes: The behavior at infinity
نویسنده
چکیده
We study the behavior of certain spaces and their compactificability classes at infinity. Among other results we show that every noncompact, locally compact, second countable Hausdorff space X such that each neighborhood of infinity (in the Alexandroff compactification) is uncountable, has (X) = (R). We also prove some criteria for (non-) comparability of the studied classes of mutual compactificability.
منابع مشابه
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عنوان ژورنال:
- Int. J. Math. Mathematical Sciences
دوره 2006 شماره
صفحات -
تاریخ انتشار 2006