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The compactificability classes: The behavior at infinity

Kovár, Martin Maria. The compactificability classes: The behavior at infinity. INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES, 2006, vol. 2006, no. Article ID 24370, p. 1-12. ISSN: 0161-1712.
Type
journal article
Language
English
Authors
Kovár Martin, doc. RNDr., Ph.D., UMAT (FEEC)
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

Published
2006
Pages
1–12
Journal
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES, vol. 2006, no. Article ID 24370, ISSN 0161-1712
BibTeX 
@article{BUT43774,
  author="Martin {Kovár}",
  title="The compactificability classes: The behavior at infinity",
  journal="INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES",
  year="2006",
  volume="2006",
  number="Article ID 24370",
  pages="1--12",
  issn="0161-1712"
}
Departments
Department of Mathematics (UMAT)
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