Set strongly 1-starcompact and set $\mathcal{K}$-starcompact spaces

Sumit Mittal, Gaurav Kumar, B. K. Tyagi


In this paper, we consider new types of set star covering properties called set strongly 1-starcompact and set $\mathcal{K}$-starcompact. We investigate the relationship between these two properties and some other set covering properties. We study the topological properties of introduced classes of spaces. Further we giveĀ  the partial solutions of two open problems posed by Singh in \cite{singh2021set}.


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