Blumberg property

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

A topological space is said to have the Blumberg property if for any map (not necessarily continuous) from it to the real line, there is a dense subset of the topological space such that the restriction of the function to that dense subset is continuous.