preprint · HAL (Le Centre pour la Communication Scientifique Directe)
This article introduces quiver spaces, a class of structures that generalize metric spaces and multiplicative metric spaces . They provide a representation framework that is both faithful and general for the principle of the identity of indiscernibles, avoiding the limitations of the classical metric and emphasizing a purely relational and algebraic perspective. Several topologies naturally associated with quiver spaces are also introduced and studied.
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