On Standard Concepts Using ii-Open Sets

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DOI: 10.4236/oalib.1105604    152 Downloads   793 Views  Citations

ABSTRACT

Following Caldas in [1] we introduce and study topological properties of ii-derived, ii-border, ii-frontier, and ii-exterior of a set using the concept of ii-open sets. Moreover, we prove some further properties of the well-known notions of ii-closure and ii-interior. We also study a new decomposition of ii-continuous functions. Finally, we introduce and study some of the separation axioms specifically T0ii, T1ii.

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Abdullah, B. and Mohammed, A. (2019) On Standard Concepts Using ii-Open Sets. Open Access Library Journal, 6, 1-13. doi: 10.4236/oalib.1105604.

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