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The main goal of this chapter is to study the class of \(e^{*}\) -normal spaces (Ekici in Carpathian J Math 24:37–45, 2008 [6]) via the concept of \(e^{*}\) -open set (Ekici in Math Morav 13:29–36, 2009 [7]) defined by Ekici. Also, we investigate the relationships among some other types of normality existing in the literature such as s-normal space (Maheshwari and Prasad in Bull Math Soc Sci Math R.S.Roumanie (N.S.) 22(68):27–29, 1978 [13]), p-normal space (Paul and Bhattacharyya in Soochow J Math 21(3):273–289, 1995 [18]), and \(\beta \) -normal space (Ravi et al. in Appl Math 2(1):27–40, 2015 [19]). Moreover, we introduce and study the class of generalized \(e^*\) -closed functions. Finally, we obtain not only characterizations of \(e^*\) -normal spaces, but also present some preservation theorems.

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On \(e^*\) -Normal Spaces

  • 章节

  • 发表日期：

    2025年

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  • Serap Erdem,
  • Murad Özkoç,
  • Takashi Noiri

摘要

The main goal of this chapter is to study the class of \(e^{*}\) -normal spaces (Ekici in Carpathian J Math 24:37–45, 2008 [6]) via the concept of \(e^{*}\) -open set (Ekici in Math Morav 13:29–36, 2009 [7]) defined by Ekici. Also, we investigate the relationships among some other types of normality existing in the literature such as s-normal space (Maheshwari and Prasad in Bull Math Soc Sci Math R.S.Roumanie (N.S.) 22(68):27–29, 1978 [13]), p-normal space (Paul and Bhattacharyya in Soochow J Math 21(3):273–289, 1995 [18]), and \(\beta \) -normal space (Ravi et al. in Appl Math 2(1):27–40, 2015 [19]). Moreover, we introduce and study the class of generalized \(e^*\) -closed functions. Finally, we obtain not only characterizations of \(e^*\) -normal spaces, but also present some preservation theorems.