Domain-invariance 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 said to be a domain-invariance space or is said to have the domain-invariance property if given any two homeomorphic subsets of the topological space, if one of them is open, so is the other.

The invariance of domain basically states that all spheres are domain-invariance spaces.