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.
Contemporary Mathematics , volume=
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Defines equivalent P-monoids and L-monoids for S^2 bordisms in Cob(3) that add prime 3-manifold labeled endomorphisms or units to commutative Frobenius monoids, with legs relations forcing simplification to prime unit multiplications in algebras.
citing papers explorer
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Duality theory for categorical theories
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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Topological Field Theories and the Algebraic Structures of the Two-Sphere
Defines equivalent P-monoids and L-monoids for S^2 bordisms in Cob(3) that add prime 3-manifold labeled endomorphisms or units to commutative Frobenius monoids, with legs relations forcing simplification to prime unit multiplications in algebras.