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- W2022132085 abstract "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<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=E1><mml:mi>X</mml:mi></mml:math>such that each neighborhood of infinity (in the Alexandroff compactification) is uncountable, has<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=E2><mml:mrow><mml:mo>(</mml:mo><mml:mi>X</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mi>ℝ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>. We also prove some criteria for (non-) comparability of the studied classes of mutual compactificability." @default.
- W2022132085 created "2016-06-24" @default.
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- W2022132085 date "2006-01-01" @default.
- W2022132085 modified "2023-09-26" @default.
- W2022132085 title "The compactificability classes: The behavior at infinity" @default.
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- W2022132085 doi "https://doi.org/10.1155/ijmms/2006/24370" @default.
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