Metric spaces: The definition, and some examples
Stephen Semmes

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.
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Taxonomy
TopicsComputational Geometry and Mesh Generation
