Foundations of Finitely Supported Structures

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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.