About this document
Metric Spaces: Definitions and Examples by GAurav JOshi is a document available to read on EtoBox.
This document provides notes on metric spaces. It begins with defining a metric space as a set X endowed with a metric (distance function) d that satisfies non-negativity, identity of indiscernibles, symmetry, and the triangular inequality. Common examples of metric spaces are presented, including norms in vector spaces like Rn equipped with the Euclidean, taxicab, or max distances. Functional spaces consisting of bounded functions from a set A to Rm under the sup norm are also shown to be metric spaces.
- Author
- GAurav JOshi
- Language
- EN