|
gptkbp:instanceOf
|
gptkb:mathematical_concept
gptkb:topology
|
|
gptkbp:compact
|
true
|
|
gptkbp:dimensions
|
0
|
|
gptkbp:hasCardinality
|
continuum
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Cantor space
|
|
gptkbp:isBaireSpace
|
false
|
|
gptkbp:isClosedSubsetOf
|
gptkb:the_real_line
|
|
gptkbp:isCompletelyMetrizable
|
true
|
|
gptkbp:isFractal
|
true
|
|
gptkbp:isHausdorff
|
true
|
|
gptkbp:isMetricSpace
|
true
|
|
gptkbp:isNowhereDense
|
true
|
|
gptkbp:isomorphicTo
|
gptkb:the_middle-thirds_Cantor_set
the product of countably many copies of the discrete space {0,1}
|
|
gptkbp:isPerfect
|
true
|
|
gptkbp:isPerfectSet
|
true
|
|
gptkbp:isPolishSpace
|
true
|
|
gptkbp:isSecondCountable
|
true
|
|
gptkbp:isTotallyBounded
|
true
|
|
gptkbp:isTotallyDisconnected
|
true
|
|
gptkbp:isTotallySeparated
|
true
|
|
gptkbp:isUncountable
|
true
|
|
gptkbp:isUniversalForZeroDimensionalCompactMetricSpaces
|
true
|
|
gptkbp:isZeroDimensional
|
true
|
|
gptkbp:namedAfter
|
gptkb:Georg_Cantor
|
|
gptkbp:usedIn
|
gptkb:topology
gptkb:descriptive_set_theory
dynamical systems
measure theory
theoretical computer science
|
|
gptkbp:bfsParent
|
gptkb:Baire_space
gptkb:topological_Ramsey_theory
|
|
gptkbp:bfsLayer
|
7
|