Remarks on -open Sets and Minimal -Open Sets
K. Poorani1, S. M. Meenarani2, M. Anbuchelvi3
1K.Poorani, Research Scholar, Department of Mathematics, V.V. Vanniaperumal College for Women, Virudhunagar (Tamil Nadu), India.
2S.M.Meenarani, Associate Professor, Department of Mathematics, V.V. Vanniaperumal College for Women, Virudhunagar (Tamil Nadu), India.
3M.Anbuchelvi, Associate Professor, Department of Mathematics, V.V. Vanniaperumal College for Women, Virudhunagar (Tamil Nadu), India.
Manuscript received on 25 November 2019 | Revised Manuscript received on 19 December 2019 | Manuscript Published on 30 December 2019 | PP: 1017-1021 | Volume-9 Issue-1S4 December 2019 | Retrieval Number: A12191291S419/19©BEIESP | DOI: 10.35940/ijeat.A1219.1291S419
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: Aim of this paper is to define -open sets in a topological space and obtain their basic properties. Also, we define minimal -open sets in a space and study the impact of two minimal -open sets in a space with -regular operation. However, the roll of minimal -open sets in -locally finite space has been discussed.
Keywords: Open Set, -Interior, -Closure, Minimal -Open Set, -Locally Finite Space.
Scope of the Article: Smart Spaces