Form equivalence class Howard-Rubin Number: 52

Statement: If \(E\) is a topological vector space, \(C\) is aan affine subspace of \(E\), and \(O\) is a non-empty open convexsubset of \(E\) such that \(C\cap O=\emptyset\), then there exists alinear functional \(f\) on \(E\) such that for all \(x\in O\), \(f(x) <\)inf\(_{z\in C}f(z)\). Dodu/Morillon [1999].

Howard-Rubin number: 52 N

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