# Polyhedron

From Topospaces

This article defines a property of topological spaces: a property that can be evaluated to true/false for any topological space|View a complete list of properties of topological spaces

## Contents

## Definition

### Symbol-free definition

A topological space is termed a **polyhedron** if there is a homeomorphism to it from the underlying space (viz, geometric realization) of a (finite) simplicial complex. The simplicial complex, along with the homeomorphism, is termed a triangulation of the topological space.

### Definition with symbols

A topological space is termed a **polyhedron** if there is a (finite) simplicial complex and a homeomorphism . The pair is termed a triangulation of .