Contents

# Contents

## Definition

###### Definition

A topological space $X$ is a polyhedron if it is homeomorphic to the geometric realization of a finite simplicial complex and hence has a triangulation.

## Properties

###### Remark

The study of polyhedra has been one of the sources for methods and applications in algebraic topology, and it is often useful to go back to see the motivations and applications in the older sources. For instance, shape morphisms between polyhedral spaces are just homotopy classes of continuous maps so the Cech invariants of polyhedra coincide with their ordinary ‘standard’ invariants.

## Literature

Among textbook accounts:

Last revised on October 27, 2021 at 13:42:46. See the history of this page for a list of all contributions to it.