Systems and categorical methods of global control


  • V. Gritsak-Groener
  • Juliya Gritsak-Groener
  • Aleksandr Bukalov


category, object, society, algorithm


The toposes and others categorical construction are the most universal mathematical construction of society’s decision. For example, Syntetical autonomous systems, such as a voting, a selection, analyze rational behaviour for an individual and a collective. A society consists of individual members and society’s decision is composed of its members’ decisions. Natural autonomous systems, such as biological, neural, social or cultural systems, are open, self-organized with a more or less large hierarchy of interacting complexity levels; they are able to memorize their experiences and to adapt to various conditions through a change of behavior. We study algorithms of society’s decision and we discuss the concept of voting and individual choice. Using ours algorithms, we arrive a number of interesting results. We give a mathematically exact characterization of rule for making decisions. These last 25 years, the Authors have developed a mathematical model for these systems, based on Category Theory. The aim of the paper is to give an overview of this model, called CAS.


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Gritsak-Groener V. Valery, Gritsak-Groener J., Arabnia R. Hamid. Mathematical Biology. — 2004.

How to Cite

Gritsak-Groener, V., Gritsak-Groener, J., & Bukalov, A. (2012). Systems and categorical methods of global control. Physics of Consciousness and Life, Cosmology and Astrophysics, 12(2), 34–38. Retrieved from




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