On $I$ and $I^K$-Cauchy nets and completeness

Authors

  • Sudip Kumar Pal Department of Mathematics, Kalyani University, West Bengal, India

DOI:

https://doi.org/10.5644/SJM.10.2.10

Keywords:

Ideal, filter, uniform space, net, $I$-Cauchy condition, $I^K$-convergence, $I^K$-Cauchy condition, condition $AP(I, K)$, completeness

Abstract

In this paper we study the concept of $I^K$-Cauchy nets which is more general form of $I^*$-Cauchy nets. We also investigate its relation with the concept of $I$-Cauchy nets and study the completeness of a uniform space in terms of $I^K$-Cauchy nets. Subsequently our results extend similar results of Das and Ghosal.

 

2010 Mathematics Subject Classification. Primary: 54A20; Secondary: 40A35, 54E15

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Published

04.06.2024

How to Cite

Pal, S. K. (2024). On $I$ and $I^K$-Cauchy nets and completeness. Sarajevo Journal of Mathematics, 10(2), 247–255. https://doi.org/10.5644/SJM.10.2.10

Issue

Vol. 10 No. 2 (2014)

Section

Articles