variable category

Definition 0.1  

A variable category is defined as an indexed family or class of either categories and, or functor categories $ [\mathcal G_i]$ with $ i \in I$ in the functor category $ \mathcal F_{ct}$ of categories and functors with additional axioms, rules, or properties of the underlying categories, that specify for example how such categories can be 'freely generated'([1]).

Bibliography

1
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.

2
Baianu I. C., Brown R., Georgescu G. and J. F. Glazebrook: 2006b, Complex Nonlinear Biodynamics in Categories, Higher Dimensional Algebra and Łukasiewicz-Moisil Topos: Transformations of Neuronal, Genetic and Neoplastic Networks., Axiomathes, 16 Nos. 1-2: 65-122.



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