Complex systems from the perspective of category theory: II. Covering systems and sheaves [Book Review]

Axiomathes 15 (2):181-190 (2004)
Abstract
Using the concept of adjunction, 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.
Keywords adjunction  complex systems  coverings  information structures  localization systems  sheaves
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Reprint years 2005
DOI 10.1007/s10516-004-6676-7
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From Absolute to Local Mathematics.J. L. Bell - 1986 - Synthese 69 (3):409 - 426.
Observations on Category Theory.John L. Bell - 2001 - Axiomathes 12 (1-2):151-155.
Categories, Toposes and Sets.J. L. Bell - 1982 - Synthese 51 (3):293 - 337.

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