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Every notion of constancy is relative, beeing derived perceptually or conceptually as a limiting case of variation and the undisputed value of such notions in clarifying variation is always limited by that origin. (F. W. Lawvere [26])

Sunto

Dopo aver passato in rassegna le principali nozioni di categoria localmente interna rispetto ad un toposE, si mostra che questa nozione può essere utilmente descritta, e la sua teoria studiata, in termini di categorie arricchite sulla bicategoria SpanE.

Summary

After recalling the main notions of a category which is locally internal with respect to a given toposE, we show that such a notion can usefully be described, and its theory developed, in terms of categories enriched in the bicategory SpanE.

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(Conferenza tenuta il 26 ottobre 1987)

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Betti, R. Categorie variabili. Seminario Mat. e. Fis. di Milano 57, 483–518 (1987). https://doi.org/10.1007/BF02925067

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