Index of categories

1. Dual category
2. Double dual category,
3. Category of sets, or
4. Cartesian closed category, or -category
5. category of molecular sets: a -category
6. Category of –systems: a -category
7. Category of dynamical systems
8. abelian categories: Grothendieck category, category of Abelian groups, category of sheaves of abelian groups, category of reversible automata
9. Complete category
10. Comma category
11. -category
12. -category
13. -category
14. -category
15. category of additive fractions
16. Category of fractions
17. Quotient category
18. Grassmann category
19. Category of groups
20. Category of crossed modules of groups
21. Category of crossed modules of algebroids
22. Category of matrices
23. Category of Abelian (or commutative) groups
24. Category of Polish groups
25. Category of Lie 2-groups, (also an example of internal category)
26. Categorical groups
27. Internal categories
28. Monoidal category: a. symmetric, b. braided, c. closed
29. Category of semigroups
30. Category of rings
31. Category of modules
32. Category of crossed modules
33. Category of crossed complexes
34. groupoid category
35. Category of topological spaces
36. homotopy category
37. Category of sheaves of abelian groups
38. category of Riemannian manifolds
39. Borel category
40. Category of graphs: category of reflexive (or directed) graphs
41. Category of paths on a graph
42. Category of hypergraphs
43. category of groupoids, Groupoid category
44. Category of topological groupoids
45. category of Borel groupoids
46. Cohomology of small categories
47. category of C*-algebras
48. -category,
49. Category of H -algebras
50. category of Hilbert spaces
51. category of automata
52. category of quantum automata
53. algebraic categories
54. category of logic algebras
55. Category of lattices
56. Category of Boolean algebras
57. Algebraic Category of Łukasiewicz-Moisil, –Algebras
58. Category of Heyting algebras
59. Category of topoi
60. Category of genetic nets
61. Category of quantum logic algebras
62. R-category
63. Category of algebroids
64. Category of double algebroids
65. Grassmann-Hopf algebroid category
66. Topological category
67. Galois category
68. Subcategory
69. Internal category
70. Groupoid groups
71. Groupoid category
72. Fibered categories
73. Non-Abelian categories
74. Category of diagrams
75. Functor category, or category of functors and functorial morphisms (natural transformations)
76. Category of small categories
77. Category of categories, super-category
78. Supercategory
79. Meta-category
80. Category of functors, (or Functor category)
81. 2-category; specific examples are: a Lie 2-group, Abelian 2-category, 2-category of commutative (or Abelian) groupoids.
82. Double category
83. n-category
84. Double groupoid category