Singh, Davinder; Mathur, Harshit Generalizations of connected and compact sets by \(d_\delta\)-closure operator. (English) Zbl 1423.54045 Bull. Belg. Math. Soc. - Simon Stevin 26, No. 2, 255-273 (2019). Summary: In this paper, we introduce two new concepts, namely, a subset being \(d_\delta\)-connected relative to a topological space, and a subset being \(D_\delta\)-closed relative to the space. The former is a generalization of the concept of a subset being \(\theta\)-connected relative to a space, and the latter is analogous to the \(H(i)\) space. MSC: 54D05 Connected and locally connected spaces (general aspects) 54D20 Noncompact covering properties (paracompact, Lindelöf, etc.) 54C08 Weak and generalized continuity Keywords:\(d_\delta\)-separation relative to a space; \(d_\delta\)-connected relative to a space; \(D_\delta\)-completely regular space; \(D_\delta\)-closed relative to a space; \(d_\delta\)-quasicomponent of a subset relative to a space PDFBibTeX XMLCite \textit{D. Singh} and \textit{H. Mathur}, Bull. Belg. Math. Soc. - Simon Stevin 26, No. 2, 255--273 (2019; Zbl 1423.54045) Full Text: Link