PlanetPhysics/Index of Categories

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

2-category of commutative (or Abelian) groupoids.
 * 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,
 * 1) Double category
 * 2) n-category
 * 3) Double groupoid category