Category:Axiom of Countable Choice

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This category contains results about Axiom of Countable Choice.
Definitions specific to this category can be found in Definitions/Axiom of Countable Choice.


Form 1

Let $\sequence {S_n}_{n \mathop \in \N}$ be a sequence of non-empty sets.

The axiom of countable choice states that there exists a sequence:

$\sequence {x_n}_{n \mathop \in \N}$

such that $x_n \in S_n$ for all $n \in \N$.


Form 2

Let $S$ be a countable set of non-empty sets.


Then $S$ has a choice function.

Pages in category "Axiom of Countable Choice"

The following 44 pages are in this category, out of 44 total.