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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 $[\G_i]$ with $i \in I$ in the functor category $\F_{ct}$ 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 \Lukasiewicz-Moisil Topos: Transformations of Neuronal, Genetic and Neoplastic Networks., Axiomathes, 16 Nos. 1-2: 65-122.




"variable category" is owned by bci1. [ full author list (2) ]
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See Also: supercategory, variable network topology

Other names:  variable topos
Also defines:  sequence of different categories, dynamic supercategory
Keywords:  sequence of different categories defined by distinct axioms or rules, supercategories
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Cross-references: freely generated, properties, axioms, functors, functor categories, categories, class
There is 1 reference to this entry.

This is version 10 of variable category, born on 2008-07-24, modified 2009-04-19.
Object id is 10862, canonical name is VariableTopology8.
Accessed 1232 times total.

Classification:
AMS MSC18B40 (Category theory; homological algebra :: Special categories :: Groupoids, semigroupoids, semigroups, groups )
 18G55 (Category theory; homological algebra :: Homological algebra :: Homotopical algebra)
 55U40 (Algebraic topology :: Applied homological algebra and category theory :: Topological categories, foundations of homotopy theory)

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