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Regular cardinal

In set theory, a regular cardinal is a cardinal number that is equal to its own cofinality. More explicitly, this means that κ {\displaystyle \kappa } is a regular cardinal if and only if every unbounded subset C ⊆ κ {\displaystyle C\subseteq \kappa } has cardinality κ {\displaystyle \kappa } . Infinite well-ordered cardinals that are not regular are…

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Regular cardinal

Nodes35
Edges34
Triples4
Avg. degree1.94
Density0.057143
Components1

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Regular cardinal

Top relations

related to Examples · 3
Regular cardinal → It, The, This
is a · 1
Regular cardinal → cardinal number that is equal to its own cofinality

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Important terminology

displaystyle regular cardinal kappa omega ordinal aleph limit set singular cardinals axiom number choice sets numbers less ordinals every well-ordered

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Regular cardinalis acardinal number that is equal to its own cofinality0.90text
Regular cardinalrelated to ExamplesThe0.60section
Regular cardinalrelated to ExamplesIt0.60section
Regular cardinalrelated to ExamplesThis0.60section

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    Min side: 3
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