On θ -closed sets and some forms of continuity

Mohammad Saleh

Archivum Mathematicum (2004)

  • Volume: 040, Issue: 4, page 383-393
  • ISSN: 0044-8753

Abstract

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In this paper, we further the study of θ -compactness a generalization of quasi-H-closed sets and its applications to some forms of continuity using θ -open and δ -open sets. Among other results, it is shown a weakly θ -retract of a Hausdorff space X is a δ -closed subset of X .

How to cite

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Saleh, Mohammad. "On $\theta $-closed sets and some forms of continuity." Archivum Mathematicum 040.4 (2004): 383-393. <http://eudml.org/doc/249287>.

@article{Saleh2004,
abstract = {In this paper, we further the study of $\theta $-compactness a generalization of quasi-H-closed sets and its applications to some forms of continuity using $\theta $-open and $\delta $-open sets. Among other results, it is shown a weakly $\theta $-retract of a Hausdorff space $X$ is a $\delta $-closed subset of $X$.},
author = {Saleh, Mohammad},
journal = {Archivum Mathematicum},
keywords = {almost closure continuity; $\theta $-open; $\theta $-closed; quasi-H-closed; S-Hausdorff spaces; n-compactness; almost closure continuity},
language = {eng},
number = {4},
pages = {383-393},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On $\theta $-closed sets and some forms of continuity},
url = {http://eudml.org/doc/249287},
volume = {040},
year = {2004},
}

TY - JOUR
AU - Saleh, Mohammad
TI - On $\theta $-closed sets and some forms of continuity
JO - Archivum Mathematicum
PY - 2004
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 040
IS - 4
SP - 383
EP - 393
AB - In this paper, we further the study of $\theta $-compactness a generalization of quasi-H-closed sets and its applications to some forms of continuity using $\theta $-open and $\delta $-open sets. Among other results, it is shown a weakly $\theta $-retract of a Hausdorff space $X$ is a $\delta $-closed subset of $X$.
LA - eng
KW - almost closure continuity; $\theta $-open; $\theta $-closed; quasi-H-closed; S-Hausdorff spaces; n-compactness; almost closure continuity
UR - http://eudml.org/doc/249287
ER -

References

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  17. Saleh M., On almost strong θ -continuity, FJMS 2000, 257-267. Zbl0982.54015MR1771247
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  19. Saleh M., On faint and quasi- θ -continuity, FJMS 11 (2003), 177–186. MR2020500
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