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 for each\(i\in K\), \(f(l_i) = f(r_i) = 0\) and \(f(x) > 0\) for all \(x\in (l_i, r_i)\).Keremedis [1997] and Note 43.
Howard-Rubin number: 118 W
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