Luzin space

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

Definition

Symbol-free definition

A topological space is termed a Luzin space if all its nowhere dense subsets are countable.

Formalisms

Subspace property implication formalism

This property of topological spaces can be encoded by the fact that one subspace property implies another

This property, in the subspace property implication formalism, is given as:

Nowhere dense Countable