# Statistical convergence of nets through directed sets

## TL;DR

This paper introduces a new form of statistical convergence for nets using asymptotic density, extending classical sequence convergence results to the more general net framework.

## Contribution

It extends classical statistical convergence results from sequences to nets, broadening the theoretical understanding of convergence in topological structures.

## Key findings

- Extended classical convergence results to nets
- Defined statistical convergence using asymptotic density for nets
- Provided theoretical foundations for further research in convergence concepts

## 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.