Axiom of Choice - Couverture souple

Herrlich, Horst

 
9783540309895: Axiom of Choice
Couverture souple
ISBN 10 : 3540309896 ISBN 13 : 9783540309895
Editeur : Springer, 2009

Synopsis

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 ZF to AC or to some weak form of AC).

- Disasters happen with AC: Many undesirable mathematical monsters are being created (e.g., non measurable sets and undeterminate games).

- Some beautiful mathematical theorems hold only if AC is replaced by some alternative axiom, contradicting AC (e.g., by AD, the axiom of determinateness).

Illuminating examples are drawn from diverse areas of mathematics, particularly from general topology, but also from algebra, order theory, elementary analysis, measure theory, game theory, and graph theory.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2009
Langue
anglais
ISBN 10 
3540309896
ISBN 13 
9783540309895
Reliure
Broché
Nombre de pages
206
Coordonnées du fabricant
non disponible
Personne responsable
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