Every Set Has at Least Three Choice Functions
Mathematica Moravica, Tome 13 (2009) no. 2.

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This paper continues the study of the Axiom of Choice by E. Zermelo [Neuer Beweis für die Möglichkeit einer Wohlordung, Math. Annalen, 65 (1908), 107-128; translated in van Heijenoort 1967, 183-198]. We prove some new equivalents of the Axiom of Choice, i.e., Zorn’s lemma, and in connection with an initial equivalent also fact that every set has at least three choice functions.
Mots-clés : axiom of choice, three choice functions 
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Milan Tasković. Every Set Has at Least Three Choice Functions. Mathematica Moravica, Tome 13 (2009) no. 2. https://geodesic-test.mathdoc.fr/item/MM3_2009_13_2_a4/