Luzin space: Difference between revisions
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==Formalisms== | ==Formalisms== | ||
{{subspace property implication}} | |||
This property, in the subspace property implication formalism, is given as: | This property, in the subspace property implication formalism, is given as: | ||
Nowhere dense <math>\implies</math> Countable | Nowhere dense <math>\implies</math> Countable | ||
Latest revision as of 19:49, 11 May 2008
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