PlanetPhysics/Index of Categories

Index of categories

The following is a contributed listing, or Index of Categories:

1. Dual category #Double dual category, $V^{**}$
2. Category of sets, $Set$ or $Ens$
3. Cartesian closed category, or $Cc$-category
4. category of molecular sets: a $Cc$-category
5. Category of $(M,R)$--systems: a $Cc$-category
6. Category of dynamical systems
7. abelian categories: Grothendieck category, category of Abelian groups, category of sheaves of abelian groups, category of reversible automata ${\mathcal {A}}_{R}$
8. Complete category
9. Comma category
10. $C_{1}$-category
11. $C_{2}$-category
12. $C_{3}$-category
13. $Ab5$-category
14. category of additive fractions #Category of fractions
15. quotient category #Grassmann category
16. Category of groups #Category of crossed modules of groups
17. Category of crossed modules of algebroids #Category of matrices #Category of Abelian (or commutative) groups
18. Category of Polish groups
19. Category of Lie 2-groups, (also an example of internal category)
20. Categorical groups
21. Internal categories
22. Monoidal category: a. symmetric , b. braided , c. closed
23. Category of semigroups #Category of rings
24. Category of modules #Category of crossed modules
25. Category of crossed complexes #groupoid category #Category of topological spaces
26. homotopy category #Category of sheaves of abelian groups
27. category of Riemannian manifolds #Borel category
28. Category of graphs: category of reflexive (or directed) graphs
29. Category of paths on a graph
30. Category of hypergraphs #category of groupoids, Groupoid category
31. Category of topological groupoids
32. category of Borel groupoids #Cohomology of small categories
33. category of C*-algebras #\htmladdnormallink{$2-C^{*}$ -category,${{\mathcal {C}}^{*}}_{2}$}{http://planetphysics.us/encyclopedia/2CCategory.html}
34. Category of H $*$ -algebras
35. category of Hilbert spaces #category of automata #category of quantum automata #algebraic categories
36. category of logic algebras #Category of lattices
37. Category of Boolean algebras
38. Algebraic Category of \L{}ukasiewicz-Moisil, $LM_{n}$--Algebras
39. Category of Heyting algebras
40. Category of topoi
41. Category of genetic nets
42. Category of quantum logic algebras
43. R-category
44. Category of algebroids
45. Category of double algebroids
46. Grassmann-Hopf algebroid category
47. Topological category
48. Galois category
49. Subcategory
50. Internal category
51. Groupoid groups
52. Groupoid category
53. Fibered categories
54. Non-Abelian categories
55. Category of diagrams
56. Functor category, or category of functors and functorial morphisms (natural transformations)
57. Category of small categories
58. Category of categories, super-category
59. Supercategory
60. Meta-category
61. Category of functors, (or Functor category)
62. 2-category; specific examples are: a Lie 2-group, Abelian 2-category,

2-category of commutative (or Abelian) groupoids.

1. Double category
2. n-category
3. Double groupoid category