Menger space

GPTKB entity

Statements (16)
Predicate Object
gptkbp:instanceOf gptkb:topology
gptkbp:category gptkb:mathematics
gptkb:topology
gptkbp:defines A topological space X is a Menger space if for every sequence of open covers, there exist finite subfamilies whose union covers X.
gptkbp:generalizes sigma-compactness
gptkbp:hasProperty covering property
https://www.w3.org/2000/01/rdf-schema#label Menger space
gptkbp:introducedIn 1924
gptkbp:isWeakerThan Lindelöf property
sigma-compactness
gptkbp:namedAfter gptkb:Karl_Menger
gptkbp:relatedTo gptkb:Lindelöf_space
sigma-compact space
gptkbp:studiedIn gptkb:general_topology
gptkbp:bfsParent gptkb:Karl_Menger
gptkbp:bfsLayer 6