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arXiv · 1609.00571

A Note on convergence of double sequences in a topological space

Amar Kumar Banerjee·Rahul Mondal
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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.

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Amar Kumar Banerjee, Rahul Mondal. 2016-09-02. A Note on convergence of double sequences in a topological space. https://arxiv.org/abs/1609.00571

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