I-convergence classes of sequences and nets in topological spaces

Amar Kumar Banerjee; Apurba Banerjee

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arXiv · 1608.03381

I-convergence classes of sequences and nets in topological spaces

Amar Kumar Banerjee·Apurba Banerjee

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Abstract

In this paper we have used the idea of I-convergence of sequences and nets to study certain conditions of convergence in a topological space. It has been shown separately that a class of sequences and a class of nets in a non-empty set X which are respectively called I-convergence class of sequences and I-convergence class of nets satisfying these conditions generate a topology on X. Further we have correlated the classes of I-convergent sequences and nets with respect to these topologies with the given classes which satisfy these conditions.

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BibTeX RIS

Amar Kumar Banerjee, Apurba Banerjee. 2016-08-11. I-convergence classes of sequences and nets in topological spaces. https://arxiv.org/abs/1608.03381

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