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Foundations of Finitely Supported Structures

A Set Theoretical Viewpoint

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The book explores the foundations of atomic and finitely supported structures through a set-theoretical lens. It evaluates the potential for reformulating classical results by substituting non-atomic structures with atomic, finitely supported ones. Additionally, it delves into unique properties of these atomic structures, including aspects like finiteness, cardinality, connectivity, fixed points, order, and uniformity, highlighting characteristics that lack non-atomic counterparts.

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Foundations of Finitely Supported Structures, Andrei Alexandru, Gabriel Ciobanu

Idioma
Publicado en
2021
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Título
Foundations of Finitely Supported Structures
Subtítulo
A Set Theoretical Viewpoint
Idioma
Inglés
Publicado en
2021
Formato
Tapa blanda
Páginas
216
ISBN13
9783030529642
Serie
Descripción
The book explores the foundations of atomic and finitely supported structures through a set-theoretical lens. It evaluates the potential for reformulating classical results by substituting non-atomic structures with atomic, finitely supported ones. Additionally, it delves into unique properties of these atomic structures, including aspects like finiteness, cardinality, connectivity, fixed points, order, and uniformity, highlighting characteristics that lack non-atomic counterparts.