Towards Cantor intersection theorem and Baire category theorem in partial metric spaces. (English) Zbl 1474.54091

Summary: In this paper we consider a suitable definition of convergence and introduce star closed sets that enable us to establish a variant of Cantor intersection theorem as well as Baire category theorem in partial metric spaces.


54E50 Complete metric spaces
54E52 Baire category, Baire spaces
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