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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 X is termed a polyhedron if there is a (finite) simplicial complex K and a homeomorphism 
. The pair (K,h) is termed a triangulation of X.
Relation with other properties
Stronger properties
Weaker properties
