Lindelof 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
This is a variation of compactness. View other variations of compactness
Contents
Definition
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
Metaproperties
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.
References
Textbook references
- Topology (2nd edition) by James R. Munkres^{More info}, Page 192 (definition in paragraph)