Form equivalence class Howard-Rubin Number: 1

Statement:

For every family \(\{(X_i,T_i): i\in k\}\) of disjoint \(T_1\) topological spaces, the free union contains an open set \(O\) such that \(\emptyset\ne O\cap X_i\) and \( O\cap X_i\ne X_i\) for all\(i\in k\).

Howard-Rubin number: 1 BN

Citations (articles): Keremedis [1998a] Filters, antichains and towers in topological spaces and the axiom of choice

Connections (notes): Note [77] In this note we include definitions from Keremedis [1998a] for forms [1 BL] through [1 BR], [1CB], and [67 G].

References (books):

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