Complex Systems from the Perspective of Category Theory: II. Covering Systems and Sheaves

Zafiris, Elias (2003) Complex Systems from the Perspective of Category Theory: II. Covering Systems and Sheaves.

Abstract

Using the concept of adjunctive correspondence, for the comprehension of the structure of a complex system, developed in Part I, we introduce the notion of covering systems consisting of partially or locally defined adequately understood objects. This notion incorporates the necessary and sufficient conditions for a sheaf theoretical representation of the informational content included in the structure of a complex system in terms of localization systems. Furthermore, it accommodates a formulation of an invariance property of information communication concerning the analysis of a complex system