On compactness via bI-open sets in ideal bitopological spaces

Authors

  • S. Acharjee Debraj Roy College, Assam, India
  • I.L. Reilly University of Auckland, New Zealand
  • D.J. Sarma Central Institute of Technology, Assam, India

DOI:

https://doi.org/10.31926/but.mif.2019.12.61.1.1

Keywords:

Bitopological space, b-open sets, bI-open sets, bI-compact

Abstract

Sarma introduced the concept of (i; j)-bI-compact spaces with respect to an ideal in a bI-topological space. In this paper, our aim is to present several characterizations of these spaces. Also, the class of (i; j)-bI-countably compact spaces is introduced with some of its properties.

Author Biographies

S. Acharjee, Debraj Roy College, Assam, India

Economics and Computational Rationality Group, Department of Mathematics

I.L. Reilly, University of Auckland, New Zealand

Department of Mathematics

D.J. Sarma, Central Institute of Technology, Assam, India

Department of Mathematics

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Published

2019-07-12

Issue

Section

MATHEMATICS