Result Details

A Note on Ragahvan-Reilly's Pairwise Paracompactness

KOVÁR, M. A Note on Ragahvan-Reilly's Pairwise Paracompactness. INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES, 2000, vol. 24, no. 2, 5 p. ISSN: 0161-1712.

Type

journal article

Language

English

Authors

Kovár Martin, doc. RNDr., Ph.D.

Abstract

The bitopological unstability of $RR$-pairwise paracompactness in presence of pairwise Hausdorff
separation axiom is caused by a bitopological property which is much weaker and more local than
$RR$-pairwise paracompactness. We slightly generalize some Michael's constructions and
characterize $RR$-pairwise paracompactness in terms of bitopological $\theta$-regularity
and some other, weaker modifications of pairwise paracompactness.

Keywords

Spaces with more topologies, $\theta$-regularity, pairwise paracompactness

Published

2000

Pages

Journal

INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES, vol. 24, no. 2, ISSN 0161-1712

BibTeX

@article{BUT40133,
  author="Martin {Kovár}",
  title="A Note on Ragahvan-Reilly's Pairwise Paracompactness",
  journal="INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES",
  year="2000",
  volume="24",
  number="2",
  pages="5",
  issn="0161-1712"
}

Departments

Department of Mathematics (UMAT)