Moore spaces

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:topology
gptkbp:definedIn a regular developable topological space
gptkbp:example metric spaces
Sorgenfrey line
long line
https://www.w3.org/2000/01/rdf-schema#label Moore spaces
gptkbp:namedAfter gptkb:Robert_Lee_Moore
gptkbp:openProblem normal Moore space conjecture
gptkbp:property regular
first-countable
every closed set is a G-delta set
metrizable if and only if collectionwise normal
not all Moore spaces are metrizable
has a development (countable collection of open covers)
hereditarily normal Moore spaces are metrizable (under certain set-theoretic assumptions)
gptkbp:relatedTo normal spaces
G-delta sets
developable spaces
metrizable spaces
regular spaces
gptkbp:studiedIn gptkb:general_topology
gptkbp:bfsParent gptkb:set-theoretic_topology
gptkbp:bfsLayer 6