Form equivalence class Howard-Rubin Number: 43

Statement:  If \({\cal D}\) is a denumerable collection of densesubsets of a partial order \((P,\le)\) then for all \(p\in P\) there isa sequence \(f: \omega\rightarrow P\) with \(f(0) = p\) and \((\foralln\in\omega)(f(n)\ge f(n+1))\) and range(\(f)\cap D\neq\emptyset\)  for all \(D \in  {\cal D}\).  Goldblatt [1985].

Howard-Rubin number: 43 D

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