Luzin set

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:category Descriptive set theory
gptkbp:consistency Existence is independent of ZFC
Exists if continuum hypothesis holds
gptkbp:defines An uncountable subset of the real numbers such that every countable subset of it is a relative G_delta set.
gptkbp:field gptkb:set_theory
https://www.w3.org/2000/01/rdf-schema#label Luzin set
gptkbp:namedAfter gptkb:Nikolai_Luzin
gptkbp:property Every countable subset is relatively G_delta
Uncountable subset of the real numbers
gptkbp:relatedTo gptkb:Sierpinski_set
gptkbp:bfsParent gptkb:Nikolai_Luzin
gptkbp:bfsLayer 6