Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
gptkb:topology |
| gptkbp:definedIn |
A topological space in which every open cover has a countable subcover
|
| gptkbp:doesNotImply |
compactness
second-countability |
| gptkbp:example |
any compact space
the Sorgenfrey line the discrete topology on an uncountable set the real line with standard topology |
| gptkbp:hasProperty |
topological spaces
|
| https://www.w3.org/2000/01/rdf-schema#label |
Lindelöf spaces
|
| gptkbp:implies |
every second-countable space is Lindelöf
every subspace is Lindelöf if the space is compact |
| gptkbp:namedAfter |
gptkb:Ernst_Leonard_Lindelöf
|
| gptkbp:relatedTo |
compact spaces
second-countable spaces separable spaces |
| gptkbp:usedIn |
gptkb:general_topology
gptkb:set-theoretic_topology analysis |
| gptkbp:bfsParent |
gptkb:set-theoretic_topology
|
| gptkbp:bfsLayer |
6
|