Complex systems from the perspective of category theory: II. Covering systems and sheaves [Book Review]
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jonathan Jenkins Ichikawa
Jack Alan Reynolds
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Axiomathes 15 (2):181-190 (2005)
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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References found in this work BETA
J. L. Bell (1986). From Absolute to Local Mathematics. Synthese 69 (3):409 - 426.
John L. Bell (2001). Observations on Category Theory. Axiomathes 12 (1-2):151-155.
Alberto Peruzzi (2002). Ilge Interference Patterns in Semantics and Epistemology. Axiomathes 13 (1):39-64.
J. L. Bell (1982). Categories, Toposes and Sets. Synthese 51 (3):293 - 337.
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