Cantor set

GPTKB entity

Statements (27)
Predicate Object
gptkbp:instanceOf mathematical set
gptkbp:builtBy removing middle thirds
gptkbp:firstDescribed 1883
gptkbp:hasCardinality continuum
gptkbp:hasLebesgueMeasure 0
gptkbp:hasSubgroup real numbers
gptkbp:heldBy compact
closed set
fractal
metrizable
self-similar
uncountable
example of a set with no intervals
example of a set with no isolated points
homeomorphic to 2-adic integers
nowhere dense
perfect set
totally disconnected
example of a set with Hausdorff dimension log(2)/log(3)
https://www.w3.org/2000/01/rdf-schema#label Cantor set
gptkbp:namedAfter gptkb:Georg_Cantor
gptkbp:bfsParent gptkb:Alexandrov–Hausdorff_theorem
gptkb:Polish_space
gptkb:George_Cantor
gptkb:Sierpiński_gasket
gptkb:Thompson_group_V
gptkbp:bfsLayer 6