Form equivalence class Howard-Rubin Number: 118
Statement: If \((L,\le)\) is a linear order and \(G=\{[l_i,r_i]:i\in K\}\) is a locally finite family of closed intervals of \(L\) whoseinteriors are non-empty and pairwise disjoint, then there exists acontinuous real valued function \(f: L\to \Bbb R\) such that \(|f^{-1}(0)\cap[l_i,r_i]|\ge 2\) and \(|f^{-1}(1)\cap[l_i,r_i]|\ge 1\) for all \(i\in K\).Keremedis [1997] and Note 43.
Howard-Rubin number: 118 V
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