Cantor set

GPTKB entity

Statements (25)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_set
gptkbp:builtBy removing middle thirds
gptkbp:firstDescribed 1883
gptkbp:hasCardinality gptkb:continuum
gptkbp:hasLebesgueMeasure 0
gptkbp:hasSubgroup real numbers
gptkbp:heldBy gptkb:fractal
compact
closed set
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)
gptkbp:namedAfter gptkb:Georg_Cantor
gptkbp:bfsParent gptkb:Alexandrov–Hausdorff_theorem
gptkb:George_Cantor
gptkb:Sierpiński_gasket
gptkbp:bfsLayer 6
https://www.w3.org/2000/01/rdf-schema#label Cantor set