Metric spaces: The definition, and some examples

TL;DR

This paper provides an accessible overview of metric spaces, including their definition, examples, and fundamental properties, aimed at high school students and educators.

Contribution

It offers an informal, educational introduction to metric spaces with illustrative examples and basic properties suitable for a high school audience.

Findings

Several examples of metric spaces are presented.

Basic properties of metric spaces are discussed.

The notes serve as an educational resource for beginners.

Abstract

These informal notes were prepared in connection with a lecture at a high school mathematics tournament, and provide an overview of some examples of metric spaces and a few of their basic properties.