$$\mathcal {F}$$ F -finite embeddabilities of sets and ultrafilters
$$\mathcal {F}$$ F -finite embeddabilities of sets and ultrafilters
Let S be a semigroup, let $$n\in \mathbb {N}$$ be a positive natural number, let $$A,B\subseteq S$$ , let $$\mathcal {U},\mathcal {V}\in \beta S$$ and let let $$\mathcal {F}\subseteq \{f:S^{n}\rightarrow S\}$$ . We say that A is $$\mathcal {F}$$ -finitely embeddable in B if for every finite set $$F\subseteq A$$ …