New notions in ideal topological space

• Published in: Boletim da Sociedade Paranaense de Matemática Vol. 38; no. 5; pp. 19 - 31
• Main Authors: Santhini, Chinnapazham, Suganya, M.
• Format: Journal Article
• Language: English
• Published: Sociedade Brasileira de Matemática 01.01.2020
• Subjects: I∗∗α g -closed sets; I∗∗α g -locally closed sets; I∗∗α g -open sets; I∗∗α g -submaximal spaces
• ISSN: 0037-8712; 2175-1188
• DOI: 10.5269/bspm.v38i5.37053

In this paper, we apply the notion of I∗∗α g -closed sets to present and study a new class of locally closed sets called I∗∗α g -locally closed sets in ideal topological spaces along with their several characterizations and mutual relationships between the new notion and other locally closed sets. Further we introduce I∗∗α g-submaximal space and some properties of such notion are investigated.