Cantor space

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 Cantor space if it satisfies the following equivalent conditions:

• It is perfect, compact, totally disconnected, metrizable and non-empty
• It is homeomorphic to the Cantor set