選擇公理(英文:Axiom of Choice,簡稱AC)係數學入面一條集合論公理。佢有幾種表達方式,其中一種係,畀一個由索引族 I 標籤嘅集合族 ( S i ) i ∈ I )_} ,當中每一個集都唔係空嘅,咁就存在一個方法,係每個集入面揀一個元素出嚟,形成 ( x i ) i ∈ I )_} 。另一個表達方法係,存在函數 f : I → ⋃ S i } ,符合 f ( i ) ∈ S i } ,呢個函數 f 叫做選擇函數。
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