# Besicovitch and doubling type properties in metric spaces

## TL;DR

This paper investigates the connections between Besicovitch covering properties and weak doubling conditions in metric spaces, focusing on how these relate to issues like non-uniqueness of centers and radii.

## Contribution

It provides new insights into the interplay between covering theorems and doubling-like properties in general metric spaces, extending classical concepts.

## Key findings

- Established relationships between Besicovitch properties and weak doubling.
- Analyzed implications of non-uniqueness of centers and radii.
- Extended classical covering and doubling theories to broader metric spaces.

## Abstract

We explore the relationship in metric spaces between different properties related to the Besicovitch covering theorem, and also consider weak versions of doubling, in connection to the non-uniqueness of centers and radii in arbitrary metric spaces.