Form equivalence class Howard-Rubin Number: 1

Statement:

(\(DT_0)\): Every topological space \(X\) has a \(T_0\) subspace that is dense in \(X\). (\(Y\) is dense in \(X\) if there is no non-empty open subset \(O\subseteq X\) such that \(O\cap Y=\emptyset\).)

Howard-Rubin number: 1 BF

Citations (articles): McCarten [1988] Topological equivalents of the axiom of choice

Connections (notes): Note [106] This note contains results from McCarten [1988], and Schnare [1968] relating to forms [1 BF] \((DT_0)\), [1 BG] \((CT_0)\), [1 BH] \((TT_0)\), and [1 BI] \((MT_0)\).

References (books):

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