variable category

Definition 0.1.

A variable category is defined as an indexed family or class of either categoriesMathworldPlanetmath and, or functor categoriesPlanetmathPlanetmath [𝒢i] with iI in the functor category ct of categories and functorsMathworldPlanetmath with additional axioms, rules, or properties of the underlying categories, that specify for example how such categories can be ’freely generated’([1]).


  • 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 AlgebraPlanetmathPlanetmath and Łukasiewicz–Moisil Topos: Transformations of Neuronal, Genetic and Neoplastic Networks., Axiomathes, 16 Nos. 1-2: 65-122.
Title variable category
Canonical name VariableCategory
Date of creation 2013-03-22 18:15:48
Last modified on 2013-03-22 18:15:48
Owner bci1 (20947)
Last modified by bci1 (20947)
Numerical id 13
Author bci1 (20947)
Entry type Definition
Classification msc 55U40
Classification msc 18G55
Classification msc 18B40
Synonym variable topos
Related topic Supercategories3
Related topic VariableTopology3
Defines sequence of different categories
Defines dynamic supercategory