PlanetPhysics/Index of Categories

Index of categories

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

1. Dual [[../Cod/|category]] #Double dual category, $V^{**}$
2. Category of sets, $Set$ or $Ens$
3. Cartesian closed category, or $Cc$-category
4. [[../CategoryOfMolecularSets/|category of molecular sets]]: a $Cc$-category
5. Category of $(M,R)$--systems: a $Cc$-category
6. Category of [[../ContinuousGroupoidHomomorphism/|dynamical systems]]
7. [[../AbelianCategory2/|abelian categories]]: [[../GrothendieckCategory/|Grothendieck category]], category of [[../TrivialGroupoid/|Abelian groups]], category of sheaves of abelian groups, category of reversible automata ${𝒜}_R$
8. Complete category
9. Comma category
10. $C_1$-category
11. [[../C_2Category/|$C_2$-category]]
12. [[../C_3Category/|$C_3$-category]]
13. [[../GrothendieckCategory/|$Ab5$-category]]
14. [[../DenseSubcategory/|category of additive fractions]] #Category of fractions
15. [[../DenseSubcategory/|quotient category]] #Grassmann category
16. Category of [[../TrivialGroupoid/|groups]] #Category of [[../CubicalHigherHomotopyGroupoid/|crossed modules]] of groups
17. Category of crossed modules of [[../Algebroids/|algebroids]] #Category of [[../Matrix/|matrices]] #Category of Abelian (or commutative) groups
18. Category of [[../PolishGroup/|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 [[../TrivialGroupoid/|semigroups]] #Category of rings
24. Category of [[../RModule/|modules]] #Category of crossed modules
25. Category of [[../SingularComplexOfASpace/|crossed complexes]] #[[../GroupoidCategory/|groupoid category]] #Category of [[../CoIntersections/|topological]] spaces
26. [[../HomotopyCategory/|homotopy category]] #Category of sheaves of abelian groups
27. [[../CategoryOfRiemannianManifolds/|category of Riemannian manifolds]] #Borel category
28. Category of [[../Bijective/|graphs]]: category of reflexive (or directed) graphs
29. Category of paths on a graph
30. Category of [[../SimpleIncidenceStructure2/|hypergraphs]] #[[../GroupoidCategory/|category of groupoids]], Groupoid category
31. Category of [[../GroupoidHomomorphism2/|topological groupoids]]
32. [[../CategoryOfBorelGroupoids/|category of Borel groupoids]] #Cohomology of [[../Cod/|small categories]]
33. [[../Homomorphisms/|category of C*-algebras]] #\htmladdnormallink{$2-C^{*}$ -category,${{𝒞}^{*}}_2$}{http://planetphysics.us/encyclopedia/2CCategory.html}
34. Category of H $*$ -algebras
35. [[../CategoryOfHilbertSpaces/|category of Hilbert spaces]] #[[../AAT/|category of automata]] #[[../CategoryOfQuantumAutomata/|category of quantum automata]] #[[../CategoricalGroupRepresentation/|algebraic categories]]
36. [[../CategoryOfLogicAlgebras/|category of logic algebras]] #Category of lattices
37. Category of Boolean algebras
38. Algebraic Category of \L{}ukasiewicz-Moisil, $L{M}_n$--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