A Note on convergence of double sequences in a topological space
General Topology
2016-09-05 v1
Abstract
In this paper we have shown that a double sequence in a topological space satisfies certain conditions which in turn are capable to generate a topology on a non empty set. Also we have used the idea of I-convergence of double sequences to study the idea of I-sequentially compactness [3] in the sense of double sequences.
Cite
@article{arxiv.1609.00571,
title = {A Note on convergence of double sequences in a topological space},
author = {Amar Kumar Banerjee and Rahul Mondal},
journal= {arXiv preprint arXiv:1609.00571},
year = {2016}
}
Comments
10 pages