Luzin 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 Luzin space if all its nowhere dense subsets are countable.

Formalisms

Subspace property implication formalism

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

Nowhere dense $⟹$ Countable