Form equivalence class Howard-Rubin Number: 118
Statement: Every linearly ordered space is monotonically normal.(A space \((X,<)\) is monotonically normal if there is an operator\(V\) which assigns to each \(x\in X\) and basic open neighborhood \(U\) of \(x\)a basic open neighborhood \(V(x,U)\) of \(x\) such that \(V(x,U)\cap V(x',U')\ne\emptyset\) implies \(x\in U'\) or \(x'\in U\).) Good/Tree [1995].
Howard-Rubin number: 118 U
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