Publication result 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

Peer-reviewed article not indexed in WoS or Scopus

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

Key words in English

mutual compactificability

Authors

Kovár, Martin Maria

Released

08.12.2006

ISBN

0161-1712

Periodical

INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES

Volume

2006

Number

Article ID 24370

State

United Kingdom of Great Britain and Northern Ireland

Pages from

1

Pages to

12

Pages count

12

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"
}