Form equivalence class Howard-Rubin Number: 372
Statement:
Generalized Convex Domination Theorem: For every real vector space \(X\), every Dedekind complete ordered vector space \((Z,\preccurlyeq)\), every subspace \(X_0\subseteq X\), every linear \(\lambda_0 :X_0\to Z\) and every convex \(p: X\to Z\), if \(\lambda_0 \preccurlyeq p\) on \(X_0\) then \(\lambda_0\) can be extended to a linear map \(\lambda: X\to Z \) such that \(\lambda \preccurlyeq p\) on \(X\). \ac{Schechter} \cite{1996b}.
Howard-Rubin number: 372 B
Citations (articles):
Connections (notes): Note [31]
Definitions for forms [14 W], [70 A], [52 H] through [52 L], Form 372 and [372 A] through [372 D] .These are modifications of definitions from Schechter [1996a] and Schechter [1996b].
References (books):
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