variable category
Definition 0.1.
A variable category is defined as an indexed family or class of either categories
and, or functor categories
[𝒢i] with i∈I in the functor category ℱct 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]).
References
- 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.
| 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 |