Decompositions of normality and interrelation among its variants

Authors

  • A. K. Das School of Mathematics, Shri Mata Vaishno Devi University, Katra, Jammu and Kashmir, India-182320 Author
  • Pratibha Bhat School of Mathematics, Shri Mata Vaishno Devi University, Katra, Jammu and Kashmir, India-182320 Author

Keywords:

$\kappa$-normal, $\theta$-normal, f$\theta$-normal, w$\theta$-normal, wf$\theta$-normal, $\Delta$-normal, w$\Delta$-normal, wf$\Delta$-normal, $\alpha$-normal, $\beta$-normal, $\pi$-normal, $\Delta$-regular

Subjects:

54D15

Abstract

Interrelation among some existing variants ofnormality is discussed and characterizations of these variants areobtained. It is verified that Urysohn's type lemma and Tietze'stype extension hold for some of these variants of normality.Decomposition of normality in terms of near normality and somefactorizations of normality in presence of some lower separationaxioms are given.

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Published

2016-04-15

Issue

Vol. 68 No. 2 (2016): Vol. 68, Issue 2

Section

Articles

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Copyright (c) 2016 Authors retain copyright to their work.

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