Ramsey cardinal (Q255914)
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cardinal ๐
such that, for any function ๐ from the set of finite subsets of ๐
to {0, 1}, there is a cardinalityโ๐
set ๐ด that is homogeneous for ๐
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ramsey cardinal |
cardinal ๐
such that, for any function ๐ from the set of finite subsets of ๐
to {0, 1}, there is a cardinalityโ๐
set ๐ด that is homogeneous for ๐ |
Statements
![{\displaystyle \forall f\colon [\kappa ]^{<\omega }\to \{0,1\}\exists A\subset \kappa \colon \left(|A|=\kappa \land \exists t\in \{0,1\}^{\omega }\forall s\in [\kappa ]^{<\omega }\colon f(s)=t(|s|)\right)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/8d1c8a42d15e3e9596ea78389ad4943916bbfef6)
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Wikipedia(3 entries)
- enwiki Ramsey cardinal
- eowiki Kardinalo preskaลญ de Ramsey
- frwiki Cardinal de Ramsey