| 18-XX |
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Category theory; homological algebra {For commutative rings, see 13Dxx; for associative rings, see 16Exx; for groups, see 20Jxx; for topological groups and related structures, see 57Txx; for algebraic topology, see also 55Nxx, 55Uxx} |
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18Mxx |
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Monoidal categories and operads |
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18M05 |
Monoidal categories, symmetric monoidal categories [See also 19D23] |
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18M10 |
Traced monoidal categories, compact closed categories, star-autonomous categories |
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18M15 |
Braided monoidal categories and ribbon categories {For applications to knot theory, see also 57Kxx; for applications to quantum groups, see also 16T20, 17B37, 81R50} |
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18M20 |
Fusion categories, modular tensor categories, modular functors {For applications to topological quantum field theories, see also 57R56; for applications to conformal field theories, see also 81T40} |
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18M25 |
Tannakian categories {For applications to motives, see also 14C15, 19E15} |
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18M30 |
String diagrams and graphical calculi |
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18M35 |
Categories of networks and processes, compositionality |
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18M40 |
Dagger categories, categorical quantum mechanics [See also 81P68] |
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18M45 |
Categorical aspects of linear logic [See also 03B47] |
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18M50 |
Bimonoidal, skew-monoidal, duoidal categories |
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18M60 |
Operads (general) |
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18M65 |
Non-symmetric operads, multicategories, generalized multicategories |
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18M70 |
Algebraic operads, cooperads, and Koszul duality |
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18M75 |
Topological and simplicial operads [See also 18N60] |
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18M80 |
Species, Hopf monoids, operads in combinatorics |
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18M85 |
Polycategories/dioperads, properads, PROPs, cyclic operads, modular operads |
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18M90 |
Globular operads |
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18M99 |
None of the above, but in this section |
