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Between closed sets andg-closed sets

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Abstract

Quite recently, by using semi-open (resp.α-open, preopen,β-open) sets in a topological space, the notions ofsg*-closed (resp.αg*-closed,pg*-closedβg*-closed) sets are indroduced and investigated in [8]. These subsets place between closed sets andg-closed sets due to Levine [5]. In this paper, we introduce the notion ofmg*-closed sets and obtain the unified theory for collections of subsets between closed sets andg-closed sets.

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Authors and Affiliations

  1. 2949-1 Shiokita-cho, Hinagu Yatsushiro-shi, 869-5142, Kumamoto-ken, Japan

    Takashi Noiri

  2. Department of Mathematics, University of BacĂu, 600114, BacĂu, Rumania

    Valeriu Popa

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  1. Takashi Noiri
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  2. Valeriu Popa
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Correspondence to Takashi Noiri.

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Noiri, T., Popa, V. Between closed sets andg-closed sets. Rend. Circ. Mat. Palermo 55, 175–184 (2006). https://doi.org/10.1007/BF02874700

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