A kind of local strong one-side porosity

TL;DR

This paper introduces and characterizes a new class of subsets in the positive real numbers called completely strongly porous at 0, providing multiple descriptions including universal and structural properties.

Contribution

It defines the concept of completely strongly porous at 0 subsets and offers several characterizations, including universal and structural descriptions.

Findings

Characterization via an universal property

Structural description of the subsets

New class of porous sets introduced

Abstract

We define and study the completely strongly porous at 0 subsets of R^{+}. Several characterizations of these subsets are obtained, among them the description via an universal property and structural one.