Lindelof space

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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
This is a variation of compactness. View other variations of compactness


A topological space is said to be Lindelof if every open cover of it has a countable subcover.

Relation with other properties

Stronger properties

Weaker properties


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The product of two Lindelof spaces need not be a Lindelof space. A counterexample is the Sorgenfrey plane, which is a product of two copies of the Sorgenfrey line.


Textbook references

  • Topology (2nd edition) by James R. MunkresMore info, Page 192 (definition in paragraph)