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PlanetPhysics/Index of Categories

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Index of categories

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

  1. Dual category #Double dual category,
  2. Category of sets, or
  3. Cartesian closed category, or -category
  4. category of molecular sets: a -category
  5. Category of --systems: a -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
  8. Complete category
  9. Comma category
  10. -category
  11. -category
  12. -category
  13. -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{ -category,}{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, --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