%%% This file is part of PlanetPhysics snapshot of 2011-09-01
%%% Primary Title: variable category
%%% Primary Category Code: 00.
%%% Filename: VariableCategory.tex
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%%% Owner: bci1
%%% Author(s): bci1
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\begin{document}
\begin{definition}
\emph{A variable category} is defined as an indexed family or class of either \htmladdnormallink{categories}{http://planetphysics.us/encyclopedia/Cod.html} and, or \htmladdnormallink{functor categories}{http://planetphysics.us/encyclopedia/TrivialGroupoid.html} $[\G_i]$ with $i \in I$ in the functor category $\F_{ct}$ of categories and \htmladdnormallink{functors}{http://planetphysics.us/encyclopedia/TrivialGroupoid.html} with additional axioms, rules, or properties of the underlying categories, that specify for example how such categories can be 'freely generated'(\cite{BBG2k7a}).
\end{definition}
\begin{thebibliography}{9}
\bibitem{BBG2k7a}
Baianu, I.C., R. Brown and J.F. Glazebrook. : 2007a, Categorical Ontology of Complex Spacetime Structures: The Emergence of Life and Human Consciousness, Axiomathes, 17: 35-168.
\bibitem{BBGG1}
Baianu I. C., Brown R., Georgescu G. and J. F. Glazebrook: 2006b, Complex Nonlinear Biodynamics in Categories, Higher Dimensional Algebra and \L ukasiewicz--Moisil Topos: Transformations of Neuronal, Genetic and Neoplastic Networks., \emph{Axiomathes}, \textbf{16} Nos. 1-2: 65-122.
\end{thebibliography}
\end{document}
