Category:Axiom of Choice

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This category contains results about Axiom of Choice.


For every set of non-empty sets, we can provide a mechanism for choosing one element of each element of the set.

$\displaystyle \forall s: \paren {\O \notin s \implies \exists \paren {f: s \to \bigcup s}: \forall t \in s: \map f t \in t}$

That is, one can always create a choice function for selecting one element from each element of the set.

Subcategories

This category has the following 2 subcategories, out of 2 total.

Pages in category "Axiom of Choice"

The following 74 pages are in this category, out of 74 total.