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2009, vol. 13, br. 2, str. 103-116
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Every set has at least three choice functions
(naslov ne postoji na srpskom)
Sažetak
(ne postoji na srpskom)
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. 2000 Mathematics Subject Classification. Primary: 47H10; Secondary: 54H25.
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