π”Ÿ (bounding number)

GPTKB entity

Statements (29)
Predicate Object
gptkbp:instanceOf cardinal characteristic of the continuum
gptkbp:context gptkb:cardinal_invariants_of_the_continuum
gptkbp:defines the smallest cardinality of a family of functions from Ο‰ to Ο‰ that is unbounded with respect to eventual domination
gptkbp:field gptkb:set_theory
https://www.w3.org/2000/01/rdf-schema#label π”Ÿ (bounding number)
gptkbp:inequality ℡₁ ≀ π”Ÿ ≀ 2^β„΅β‚€
gptkbp:introduced gptkb:Paul_ErdΕ‘s
gptkbp:notation π”Ÿ
gptkbp:possibleValues 2^β„΅β‚€
℡₁
gptkbp:relatedTo continuum
dominating number (𝔑)
gptkbp:seeAlso π”ž (almost disjointness number)
𝔠 (cardinality of the continuum)
𝔑 (dominating number)
𝔯 (reaping number)
𝔰 (splitting number)
π”₯ (distributivity number)
π”ͺ (covering number for meager sets)
𝔫 (covering number for null sets)
𝔭 (pseudointersection number)
𝔰𝔭 (splitting number)
𝔱 (tower number)
𝔲 (ultrafilter number)
gptkbp:symbol π”Ÿ
gptkbp:unboundedFamily family of functions from Ο‰ to Ο‰
gptkbp:bfsParent gptkb:cardinal_characteristics_of_the_continuum
gptkb:cardinal_invariants_of_the_continuum
gptkbp:bfsLayer 7