Publication detail

The compactificability classes: The behavior at infinity

Kovár, Martin Maria

Original Title

The compactificability classes: The behavior at infinity

English Title

The compactificability classes: The behavior at infinity

Type

journal article

Language

en

Original 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 X such that each neighborhood of infinity (in the Alexandroff compactification) is uncountable, has C(X)=C(R). We also prove some criteria for (non-) comparability of the studied classes of mutual compactificability.

English 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 X such that each neighborhood of infinity (in the Alexandroff compactification) is uncountable, has C(X)=C(R). We also prove some criteria for (non-) comparability of the studied classes of mutual compactificability.

Keywords

mutual compactificability

RIV year

2006

Released

08.12.2006

Pages from

1

Pages to

12

Pages count

12

BibTex


@article{BUT43774,
  author="Martin {Kovár}",
  title="The compactificability classes: The behavior at infinity",
  annote="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 C(X)=C(R). We also prove some criteria for
(non-) comparability of the studied classes of mutual compactificability.",
  chapter="43774",
  journal="International Journal of Mathematics and Mathematical Sciences",
  number="Article ID 24370",
  volume="2006",
  year="2006",
  month="december",
  pages="1--12",
  type="journal article"
}