The compactificability classes: Thebehavior at infinity

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 ) = (...

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Bibliographic Details
Published in:International journal of mathematics and mathematical sciences 2006-01, Vol.2006 (1)
Main Author: Kovár, Martin Maria
Format: Article
Language:English
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Summary: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.
ISSN:0161-1712
1687-0425
DOI:10.1155/IJMMS/2006/24370