We have the following indirect implication of form equivalence classes:
Implication | Reference |
---|---|
1 \(\Rightarrow\) 375 |
Here are the links and statements of the form equivalence classes referenced above:
Howard-Rubin Number | Statement |
---|---|
1: | \(C(\infty,\infty)\): The Axiom of Choice: Every set of non-empty sets has a choice function. |
375: | Tietze-Urysohn Extension Theorem: If \((X,T)\) is a normal topological space, \(A\) is closed in \(X\), and \(f: A\to [0,1]\) is continuous, then there exists a continuous function \(g: X\to [0,1]\) which extends \(f\). |
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