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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. UNSPECIFIED. (Unpublished)

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    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


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    Item Type: Other
    Keywords: Complex Systems, Information Structures, Localization Systems, Coverings, Adjunction, Sheaves
    Subjects: Specific Sciences > Mathematics
    Depositing User: Elias Zafiris
    Date Deposited: 25 Jun 2003
    Last Modified: 07 Oct 2010 11:11
    Item ID: 1237
    Public Domain: No
    URI: http://philsci-archive.pitt.edu/id/eprint/1237

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