Santhini, C.; Suganya, M. New notions in ideal topological space. (English) Zbl 1431.54003 Bol. Soc. Parana. Mat. (3) 38, No. 5, 19-31 (2020). Summary: In this paper, we apply the notion of \(I^{\ast\ast\alpha}_g\)-closed sets to present and study a new class of locally closed sets called \(I^{\ast\ast\alpha}_g\)-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 \(I^{\ast\ast\alpha}_g\)-submaximal spaces and some properties of such notion are investigated. MSC: 54A05 Topological spaces and generalizations (closure spaces, etc.) 54A10 Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) Keywords:\(I^{\ast\ast\alpha}_g\)-closed sets; \(I^{\ast\ast\alpha}_g\)-open sets; \(I^{\ast\ast\alpha}_g\)-locally closed sets; \(I^{\ast\ast\alpha}_g\) submaximal spaces PDFBibTeX XMLCite \textit{C. Santhini} and \textit{M. Suganya}, Bol. Soc. Parana. Mat. (3) 38, No. 5, 19--31 (2020; Zbl 1431.54003) Full Text: Link