Cartesian products of the $g$-topologies are a $g$-topology

TL;DR

This paper demonstrates that $g$-topologies are preserved under Cartesian products, unlike traditional topologies, and provides detailed explanations and examples related to statistical metric spaces.

Contribution

It proves that $g$-topologies are closed under Cartesian products and offers detailed insights and examples in the context of statistical metric spaces.

Findings

$g$-topologies are closed under Cartesian products

Provides detailed explanations of concepts in statistical metric spaces

Includes illustrative examples

Abstract

We show that unlike the usual topologies the $g$-topologies are closed with respect to the Cartesian products. Moreover, we bring much detailed explanations some examples of concepts related the statistical metric spaces.