Pairwise weakly Hausdorff spaces

M. E. El-Shafei

Archivum Mathematicum (2005)

  • Volume: 041, Issue: 3, page 281-287
  • ISSN: 0044-8753

Abstract

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In this paper, we introduce and investigate the notion of weakly Hausdorffness in bitopological spaces by using the convergent of nets. Several characterizations of this notion are given. Some relationships between these spaces and other spaces satisfying some separation axioms are studied.

How to cite

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El-Shafei, M. E.. "Pairwise weakly Hausdorff spaces." Archivum Mathematicum 041.3 (2005): 281-287. <http://eudml.org/doc/249481>.

@article{El2005,
abstract = {In this paper, we introduce and investigate the notion of weakly Hausdorffness in bitopological spaces by using the convergent of nets. Several characterizations of this notion are given. Some relationships between these spaces and other spaces satisfying some separation axioms are studied.},
author = {El-Shafei, M. E.},
journal = {Archivum Mathematicum},
keywords = {pairwise weakly Hausdorffness; pairwise compactness; pairwise separation axioms; nets; pairwise compactness; pairwise separation axioms},
language = {eng},
number = {3},
pages = {281-287},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Pairwise weakly Hausdorff spaces},
url = {http://eudml.org/doc/249481},
volume = {041},
year = {2005},
}

TY - JOUR
AU - El-Shafei, M. E.
TI - Pairwise weakly Hausdorff spaces
JO - Archivum Mathematicum
PY - 2005
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 041
IS - 3
SP - 281
EP - 287
AB - In this paper, we introduce and investigate the notion of weakly Hausdorffness in bitopological spaces by using the convergent of nets. Several characterizations of this notion are given. Some relationships between these spaces and other spaces satisfying some separation axioms are studied.
LA - eng
KW - pairwise weakly Hausdorffness; pairwise compactness; pairwise separation axioms; nets; pairwise compactness; pairwise separation axioms
UR - http://eudml.org/doc/249481
ER -

References

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  1. Weakly Hausdorff spaces, Kyungpook Math. J. 15 (1975), 41–50. Zbl0303.54005MR0372815
  2. The comparison of topologies, Duke Math. J. 36 (1969), 325–331. MR0242107
  3. On pairwise almost compactness, Ann. Soc. Sci. Bruxelles 100(4) (1986), 129–137. Zbl0659.54026MR0944537
  4. Bitopological spaces, Proc. London Math. Soc. 13 (1963), 71–89. Zbl0107.16401MR0143169
  5. Pairwise compactness, Debrecen Tomus 15 FADC 1–4, (1986), 87–90. Zbl0184.26101MR0238265
  6. Quasi-uniform compact spaces, Noordhoff, Groningen 1966. 
  7. Notes on pairwise compactness, Kyungpook Math. J. 11 (1971), 45–52. MR0303503
  8. Zero dimensional bitopological spaces, Indag. Math. 53 (1973), 127–131. Zbl0258.54031MR0315674

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