En raison d'une grève chez bpost, des retards de livraison peuvent survenir. Besoin de quelque chose en urgence ? Optez pour un retrait en magasin ou rendez-vous dans une Librairie Club à proximité.

Retrait en 2 heures
Assortiment impressionnant
Paiement sécurisé
Toujours un magasin près de chez vous

Retrait en 2 heures
Assortiment impressionnant
Paiement sécurisé
Toujours un magasin près de chez vous

Magasins

Wishlist

Magasins

Wishlist

Chercher

Promotions

108,45 €

+ 216 points

Format

Livraison sous 1 à 4 semaines

Passer une commande en un clic

Payer en toute sécurité

Livraison en Belgique: 3,99 €

Livraison en magasin gratuite

Description

This book presents a set theoretical development for the foundations of the theory of atomic and finitely supported structures. It analyzes whether a classical result can be adequately reformulated by replacing a 'non-atomic structure' with an 'atomic, finitely supported structure'. It also presents many specific properties, such as finiteness, cardinality, connectivity, fixed point, order and uniformity, of finitely supported atomic structures that do not have non-atomic correspondents.

In the framework of finitely supported sets, the authors analyze the consistency of various forms of choice and related results. They introduce and study the notion of 'cardinality' by presenting various order and arithmetic properties. Finitely supported partially ordered sets, chain complete sets, lattices and Galois connections are studied, and new fixed point, calculability and approximation properties are presented. In this framework, the authors study the finitely supported L-fuzzy subsets of a finitely supported set and the finitely supported fuzzy subgroups of a finitely supported group. Several pairwise non-equivalent definitions for the notion of 'infinity' (Dedekind infinity, Mostowski infinity, Kuratowski infinity, Tarski infinity, ascending infinity) are introduced, compared and studied in the new framework. Relevant examples of sets that satisfy some forms of infinity while not satisfying others are provided. Uniformly supported sets are analyzed, and certain surprising properties are presented. Finally, some variations of the finite support requirement are discussed.

The book will be of value to researchers in the foundations of set theory, algebra and logic.