Foundations of Finitely Supported Structures

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Focusing on set theory, this work explores the foundations of atomic and finitely supported structures. It examines the potential reformulation of classical results by substituting non-atomic structures with atomic, finitely supported ones. The book delves into unique properties of these structures, including aspects like finiteness, cardinality, connectivity, fixed points, order, and uniformity, highlighting characteristics that lack non-atomic counterparts.