Sierpiński set

GPTKB entity

Statements (14)
Predicate Object
gptkbp:instanceOf set theory concept
gptkbp:cardinality continuum
gptkbp:definedIn real analysis
gptkbp:existenceDependsOn gptkb:continuum_hypothesis
gptkbp:hasSubgroup real numbers
https://www.w3.org/2000/01/rdf-schema#label Sierpiński set
gptkbp:namedAfter gptkb:Wacław_Sierpiński
gptkbp:property not Lebesgue measurable
uncountable subset of the real line
every countable subset of the real line is contained in a Sierpiński set
intersects every measure zero set in at most countably many points
gptkbp:relatedTo gptkb:Luzin_set
gptkbp:bfsParent gptkb:Mazurkiewicz–Sierpiński_set
gptkbp:bfsLayer 7