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(Q12054637)
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English
weakly inaccessible cardinal
regular weak limit cardinal
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Statements
subclass of
large cardinal
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regular cardinal
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discoverer or inventor
Felix Hausdorff
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time of discovery or invention
1908
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defining formula
(
∀
λ
<
κ
:
λ
+
<
κ
)
∧
∀
S
:
(
|
S
|
<
κ
∧
(
∀
S
∈
S
:
|
S
|
<
κ
)
⟹
|
⋃
S
|
<
κ
)
{\displaystyle \left(\forall \lambda <\kappa \colon \lambda ^{+}<\kappa \right)\land \forall {\mathcal {S}}\colon \left(|{\mathcal {S}}|<\kappa \land (\forall S\in {\mathcal {S}}\colon |S|<\kappa )\implies \left|\bigcup {\mathcal {S}}\right|<\kappa \right)}
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in defining formula
κ
{\displaystyle \kappa }
symbol represents
weakly inaccessible cardinal
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+
{\displaystyle ^{+}}
symbol represents
successor cardinal operation
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maintained by WikiProject
WikiProject Mathematics
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Identifiers
Google Knowledge Graph ID
/g/12175kpt
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ProofWiki ID
Definition:Weakly_Inaccessible_Cardinal
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Sitelinks
Wikipedia
(1 entry)
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cswiki
Slabě nedosažitelný kardinál
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