Properties (53)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical set
|
| gptkbp:field |
zero
|
| gptkbp:hasFeature |
zero
|
| gptkbp:hasSpecialty |
continuum
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cantor set
|
| gptkbp:isA |
fractal
|
| gptkbp:isAccessibleBy |
intervals
|
| gptkbp:isAssociatedWith |
measure theory
perfect set |
| gptkbp:isATypeOf |
topological space
nowhere dense set closed set set of points set of real numbers closed and bounded set closed subset perfectly compact set separable space set with empty interior topological space with no interior points totally disconnected space set_with_Lebesgue_measure_zero |
| gptkbp:isCharacterizedBy |
infinite subsets
infinite iterations infinite iterations of removal infinite number of points no isolated points |
| gptkbp:isCitedBy |
gptkb:Cantor's_theorem
iterative process |
| gptkbp:isConnectedTo |
false
|
| gptkbp:isCounteredBy |
false
true |
| gptkbp:isHomeTo |
itself
|
| gptkbp:isLocatedIn |
true
|
| gptkbp:isMaintainedBy |
removing middle thirds
|
| gptkbp:isNear |
true
|
| gptkbp:isRelatedTo |
gptkb:Cantor_dust
gptkb:Cantor_function continuum hypothesis Lebesgue measure Baire_category_theorem Cantor_set_construction Cantor_set_properties |
| gptkbp:isSimilarTo |
true
|
| gptkbp:isSubjectTo |
real numbers
|
| gptkbp:isUsedIn |
set theory
topology real analysis metric space |
| gptkbp:isUtilizedFor |
true
|
| gptkbp:isVisitedBy |
middle-thirds removal
|
| gptkbp:wasAffecting |
gptkb:Georg_Cantor
true |