MATEMATIČKI VESNIKVol. 69, No. 2, pp. 126–132 (2017)
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MATEMATIČKI VESNIK Vol. 69, No. 2, pp. 126–132 (2017) |
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Towards Cantor intersection theorem and Baire category theorem in partial metric spacesManoranjan Singha and Koushik SarkarM.S.: Department of Mathematics, University of North Bengal, Darjeeling-734013, India. E-mail: manoranjan_singha@rediffmail.com and K.S.: Department of Mathematics, University of North Bengal, Darjeeling-734013, India. E-mail: koushik.mtmh@gmail.comAbstract: 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. Keywords: partial metric space; star closed sets; second category. Classification (MSC2000): 54E50; 54E52 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 24 Feb 2017. This page was last modified: 17 Mar 2017.
© 2017 Mathematical Society of Serbia (Društvo matematičara Srbije)
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