Foundations of Finitely Supported Structures

Lingua: inglese

Editore: Springer, Birkhäuser Jul 2021, 2021

3030529649 / 9783030529642

Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germaniabuchversandmimpf2000

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Venditore AbeBooks dal 23 gennaio 2017

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This item is printed on demand - Print on Demand Titel. Neuware -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-fuzzysubsets 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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 216 pp. Englisch. …

Codice articolo 9783030529642

Titolo
Foundations of Finitely Supported Structures
Autore
Andrei Alexandru
Editore
Springer, Birkhäuser Jul 2021
Anno di pubblicazione
2021
Condizione
Neu
Rilegatura
Taschenbuch
Lingua
inglese
ISBN 10
3030529649
ISBN 13
9783030529642
Peso dell'articolo
335 grammi
Dimensioni
235x155x12 mm

buchversandmimpf2000

Emtmannsberg, BAYE, Germania

Venditore con 5 stelle

Venditore AbeBooks dal 23 gennaio 2017

Tariffe di spedizione da Germania a U.S.A.

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