Towards Cantor intersection theorem and Baire category theorem in partial metric spaces

Authors

  • Manoranjan Singha Department of Mathematics, University of North Bengal, Darjeeling-734013, India Author
  • Koushik Sarkar Department of Mathematics, University of North Bengal, Darjeeling-734013, India Author

Keywords:

partial metric space, star closed sets, second category

Subjects:

54E50, 54E52

Abstract

In this paper we consider a suitable definition of convergence and introduce starclosed sets that enable us to establish a variant of Cantor intersection theorem as well as Bairecategory theorem in partial metric spaces.

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Published

2017-04-15

Issue

Vol. 69 No. 2 (2017): Vol. 69, Issue 2

Section

Articles

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Copyright (c) 2017 Authors retain copyright to their work.

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This work is licensed under a Creative Commons Attribution 4.0 International License.