discrete metric space

GPTKB entity

Statements (28)
Predicate Object
gptkbp:instanceOf gptkb:topology
gptkbp:compact if and only if the underlying set is finite
gptkbp:distance 0 if x = y, 1 otherwise
gptkbp:hasConnection if and only if the underlying set has at most one point
gptkbp:hasProperty every subset is closed
every subset is open
https://www.w3.org/2000/01/rdf-schema#label discrete metric space
gptkbp:includesMetric discrete metric
gptkbp:isBounded true
gptkbp:isDiscreteTopology true
gptkbp:isFirstCountable true
gptkbp:isHausdorff true
gptkbp:isLocallyCompact true
gptkbp:isMetrizable true
gptkbp:isNormal true
gptkbp:isParacompact true
gptkbp:isPathConnected if and only if the underlying set has at most one point
gptkbp:isRegular true
gptkbp:isSecondCountable if and only if the underlying set is countable
gptkbp:isSeparable if and only if the underlying set is countable
gptkbp:isT1 true
gptkbp:isT2 true
gptkbp:isTotallyDisconnected true
gptkbp:isUniformSpace true
gptkbp:isZeroDimensional true
gptkbp:numberOfIssues true
gptkbp:bfsParent gptkb:topology
gptkbp:bfsLayer 5