Lee, Seung Woo; Moon, Mi Ae; Cho, Myung Hyun On submaximal and quasi-submaximal spaces. (English) Zbl 1210.54006 Honam Math. J. 32, No. 4, 643-649 (2010). Summary: The purpose of this paper is to study some properties of quasi-submaximal spaces and related examples. More precisely, we prove that if \(X\) is a quasi-submaximal and nodec space, then \(X\) is submaximal. As properties of quasi-submaximality, we show that if \(X\) is a quasi-submaximal space, then (a) for every dense \(D\subset X\), \(\text{Int}(D)\) is dense in \(X\), and (b) there are no disjoint dense subsets.Also, we illustrate some basic facts and examples giving the relationships among the properties mentioned in this paper. Cited in 1 Document MSC: 54A10 Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) 54F65 Topological characterizations of particular spaces Keywords:maximal spaces; submaximal spaces; quasi-submaximal spaces; digital planes; digital lines PDFBibTeX XMLCite \textit{S. W. Lee} et al., Honam Math. J. 32, No. 4, 643--649 (2010; Zbl 1210.54006) Full Text: DOI Link