Form equivalence class Howard-Rubin Number: 67
Statement: Let \((X, T)\) be a \(T_4\) topological space and let\(\{G_i: i\in K\}\) be a locally finite family of pairwise disjoint,non-empty, open subsets of \(X\). Then there exists a continuous realvalued function \(f: X\to \Bbb R\) such that for each \(i\in K\), \(f\) vanisheson the boundary of \(G_i\) and \(f(x_i) = 1\) for some \(x_i\in G_i\).Keremedis [1997] and Note 43.
Howard-Rubin number: 67 H
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