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18Axx - General theory of categories and functors
| 18A05 |
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Definitions, generalizations |
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60 |
items |
| 18A10 |
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Graphs, diagram schemes, precategories |
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4 |
items |
| 18A15 |
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Foundations, relations to logic and deductive systems |
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16 |
items |
| 18A20 |
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Epimorphisms, monomorphisms, special classes of morphisms, null morphisms |
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23 |
items |
| 18A22 |
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Special properties of functors (faithful, full, etc.) |
- |
7 |
items |
| 18A25 |
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Functor categories, comma categories |
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24 |
items |
| 18A30 |
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Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) |
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32 |
items |
| 18A32 |
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Factorization of morphisms, substructures, quotient structures, congruences, amalgams |
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5 |
items |
| 18A35 |
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Categories admitting limits (complete categories), functors preserving limits, completions |
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2 |
items |
| 18A40 |
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Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) |
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20 |
items |
| 18A99 |
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Miscellaneous |
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11 |
items |
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