Axiom of Choice

• Κύριος συγγραφέας: Herrlich, Horst (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
• Σειρά: Lecture Notes in Mathematics, 1876
• Θέματα: Mathematics.; Algebra.; Functional analysis.; Game theory.; Mathematical logic.; Topology.; Combinatorics.; Mathematical Logic and Foundations.; General Algebraic Systems.; Functional Analysis.; Game Theory, Economics, Social and Behav. Sciences.

AC, the axiom of choice, because of its non-constructive character, is the most controversial mathematical axiom, shunned by some, used indiscriminately by others. This treatise shows paradigmatically that: Disasters happen without AC: Many fundamental mathematical results fail (being equivalent in...