$ Ig^*$-closed sets and its certain properties in $ \sigma $-spaces with respect to an ideal

Amar Kumar Banerjee; Jagannath Pal

$ Ig^*$-closed sets and its certain properties in $ \sigma $-spaces with respect to an ideal

General Topology 2021-11-23 v1

Authors: Amar Kumar Banerjee , Jagannath Pal

Abstract

Here we have introduced and studied the idea of $Ig^*$ -closed set with respect to an ideal and investigated some of its properties in Alexandroff spaces. We have also introduced $Ig^*$ - $T_0$ axiom, $Ig^*$ - $T_1$ axiom, $Ig^*$ - $T_\omega$ axiom and explored a relation among them

Keywords

Ig*-closed sets sigma-spaces ideal Alexandroff spaces separation axioms topology

Cite

@article{arxiv.2111.10537,
  title  = {$ Ig^*$-closed sets and its certain properties in $ \sigma $-spaces with respect to an ideal},
  author = {Amar Kumar Banerjee and Jagannath Pal},
  journal= {arXiv preprint arXiv:2111.10537},
  year   = {2021}
}

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12 pages

$ Ig^*$-closed sets and its certain properties in $ \sigma $-spaces with respect to an ideal

Abstract

Keywords

Cite

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