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variable category (Definition)
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.



"variable category" is owned by bci1.
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See Also: super-categories, variable topology, variable network topology

Other names:  variable topoi
Also defines:  sequence of different categories, dynamic supercategory
Keywords:  sequence of different categories defined by distinct axioms or rules, supercategories

Cross-references: functors, functor categories, categories
There is 1 reference to this object.

This is version 1 of variable category, born on 2009-04-19.
Object id is 680, canonical name is VariableCategory.
Accessed 2030 times total.

Classification:
Physics Classification: 00. (GENERAL)
 02. (Mathematical methods in physics)
 03. (Quantum mechanics, field theories, and special relativity )
 03.65.Fd (Algebraic methods )
Pending Errata and Addenda
None.
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