Talk:PlanetPhysics/Index of Categories

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\subsection{Index of categories}

\emph{The following is a contributed listing, or Index of Categories:}

\begin{enumerate} \item Dual \htmladdnormallink{category}{http://planetphysics.us/encyclopedia/Cod.html} \item Double dual category, $V^{**}$ \item Category of sets, $Set$ or $Ens$ \item Cartesian closed category, or $Cc$-category \item \htmladdnormallink{category of molecular sets}{http://planetphysics.us/encyclopedia/CategoryOfMolecularSets.html}: a $Cc$-category \item Category of $(M,R)$--systems: a $Cc$-category \item Category of \htmladdnormallink{dynamical systems}{http://planetphysics.us/encyclopedia/ContinuousGroupoidHomomorphism.html} \item \htmladdnormallink{abelian categories}{http://planetphysics.us/encyclopedia/AbelianCategory2.html}: \htmladdnormallink{Grothendieck category}{http://planetphysics.us/encyclopedia/GrothendieckCategory.html}, category of \htmladdnormallink{Abelian groups}{http://planetphysics.us/encyclopedia/TrivialGroupoid.html}, category of sheaves of abelian groups, category of reversible automata $\mathcal{A}_R$ \item Complete category \item Comma category \item $C_1$-category \item \htmladdnormallink{$C_2$-category}{http://planetphysics.us/encyclopedia/C_2Category.html} \item \htmladdnormallink{$C_3$-category}{http://planetphysics.us/encyclopedia/C_3Category.html} \item \htmladdnormallink{$Ab5$-category}{http://planetphysics.us/encyclopedia/GrothendieckCategory.html} \item \htmladdnormallink{category of additive fractions}{http://planetphysics.us/encyclopedia/DenseSubcategory.html} \item Category of fractions \item \htmladdnormallink{quotient category}{http://planetphysics.us/encyclopedia/DenseSubcategory.html} \item Grassmann category \item Category of \htmladdnormallink{groups}{http://planetphysics.us/encyclopedia/TrivialGroupoid.html} \item Category of \htmladdnormallink{crossed modules}{http://planetphysics.us/encyclopedia/CubicalHigherHomotopyGroupoid.html} of groups \item Category of crossed modules of \htmladdnormallink{algebroids}{http://planetphysics.us/encyclopedia/Algebroids.html} \item Category of \htmladdnormallink{matrices}{http://planetphysics.us/encyclopedia/Matrix.html} \item Category of Abelian (or commutative) groups \item Category of \htmladdnormallink{Polish groups}{http://planetphysics.us/encyclopedia/PolishGroup.html} \item Category of Lie 2-groups, (also an example of internal category) \item Categorical groups \item Internal categories \item Monoidal category: a. {\em symmetric}, b. {\em braided}, c. {\em closed} \item Category of \htmladdnormallink{semigroups}{http://planetphysics.us/encyclopedia/TrivialGroupoid.html} \item Category of rings \item Category of \htmladdnormallink{modules}{http://planetphysics.us/encyclopedia/RModule.html} \item Category of crossed modules \item Category of \htmladdnormallink{crossed complexes}{http://planetphysics.us/encyclopedia/SingularComplexOfASpace.html} \item \htmladdnormallink{groupoid category}{http://planetphysics.us/encyclopedia/GroupoidCategory.html} \item Category of \htmladdnormallink{topological}{http://planetphysics.us/encyclopedia/CoIntersections.html} spaces \item \htmladdnormallink{homotopy category}{http://planetphysics.us/encyclopedia/HomotopyCategory.html} \item Category of sheaves of abelian groups \item \htmladdnormallink{category of Riemannian manifolds}{http://planetphysics.us/encyclopedia/CategoryOfRiemannianManifolds.html} \item Borel category \item Category of \htmladdnormallink{graphs}{http://planetphysics.us/encyclopedia/Bijective.html}: category of reflexive (or directed) graphs \item Category of paths on a graph \item Category of \htmladdnormallink{hypergraphs}{http://planetphysics.us/encyclopedia/SimpleIncidenceStructure2.html} \item \htmladdnormallink{category of groupoids}{http://planetphysics.us/encyclopedia/GroupoidCategory.html}, Groupoid category \item Category of \htmladdnormallink{topological groupoids}{http://planetphysics.us/encyclopedia/GroupoidHomomorphism2.html} \item \htmladdnormallink{category of Borel groupoids}{http://planetphysics.us/encyclopedia/CategoryOfBorelGroupoids.html} \item Cohomology of \htmladdnormallink{small categories}{http://planetphysics.us/encyclopedia/Cod.html} \item \htmladdnormallink{category of C*-algebras}{http://planetphysics.us/encyclopedia/Homomorphisms.html} \item \htmladdnormallink{$2-C^*$ -category,${\mathcal{C}^*}_2$}{http://planetphysics.us/encyclopedia/2CCategory.html} \item Category of H $*$ -algebras \item \htmladdnormallink{category of Hilbert spaces}{http://planetphysics.us/encyclopedia/CategoryOfHilbertSpaces.html} \item \htmladdnormallink{category of automata}{http://planetphysics.us/encyclopedia/AAT.html} \item \htmladdnormallink{category of quantum automata}{http://planetphysics.us/encyclopedia/CategoryOfQuantumAutomata.html} \item \htmladdnormallink{algebraic categories}{http://planetphysics.us/encyclopedia/CategoricalGroupRepresentation.html} \item \htmladdnormallink{category of logic algebras}{http://planetphysics.us/encyclopedia/CategoryOfLogicAlgebras.html} \item Category of lattices \item Category of Boolean algebras \item Algebraic Category of \L{}ukasiewicz-Moisil, $LM_n$--Algebras \item Category of Heyting algebras \item Category of topoi \item Category of genetic nets \item Category of quantum logic algebras \item R-category \item Category of algebroids \item Category of double algebroids \item Grassmann-Hopf algebroid category \item Topological category \item Galois category \item Subcategory \item Internal category \item Groupoid groups \item Groupoid category \item Fibered categories \item Non-Abelian categories \item Category of diagrams \item Functor category, or category of functors and functorial morphisms (natural transformations) \item Category of small categories \item Category of categories, super-category \item Supercategory \item Meta-category \item Category of functors, (or Functor category) \item 2-category; specific examples are: a Lie 2-group, Abelian 2-category, 2-category of commutative (or Abelian) groupoids. \item Double category \item n-category \item Double groupoid category \end{enumerate}

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