Polyhedron

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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

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 X is termed a polyhedron if there is a (finite) simplicial complex K and a homeomorphism h:|K| \to X. The pair (K,h) is termed a triangulation of X.

Relation with other properties

Stronger properties

Weaker properties