Form equivalence class Howard-Rubin Number: 67

Statement: If \((X,T)\) is a \(T_4\) topological space and \(U =\{U_i: i\in K\}\) is a family of non-empty open sets, then there is afamily \(F = \{f_i: i\in K\}\) of non-negative, non-constant,continuous real valued functions on \(X\) such that each \(f_i\)vanishes on \(X - U_i\). Keremedis [1997].

Howard-Rubin number: 67 I

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