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Duality theory for categorical theories

math.CT · 2026-05-21 · unverdicted · novelty 6.0

Generalizes categorical theories to coherent theories and proves a duality identifying the 2-category of categorical pretopoi with profinite monoids, further realizing the latter as a full sub-2-category of topoi via classifying topos.

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  • Duality theory for categorical theories math.CT · 2026-05-21 · unverdicted · none · ref 17

    Generalizes categorical theories to coherent theories and proves a duality identifying the 2-category of categorical pretopoi with profinite monoids, further realizing the latter as a full sub-2-category of topoi via classifying topos.