English

Statistical convergence of nets through directed sets

General Topology 2019-07-02 v1 Functional Analysis

Abstract

The concept of statistical convergence based on asymptotic density is introduced in this article through nets. Some possible extensions of classical results for statistical convergence of sequences are obtained in this article, with extensions to nets.

Keywords

Cite

@article{arxiv.1907.00777,
  title  = {Statistical convergence of nets through directed sets},
  author = {AR. Murugan and J. Dianavinnarasi and C. Ganesa Moorthy},
  journal= {arXiv preprint arXiv:1907.00777},
  year   = {2019}
}
R2 v1 2026-06-23T10:08:42.377Z