Multidimensional Events in Multilevel Systems

Jeffrey Johnson
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Jeffrey Johnson: The Open University

A chapter in The Dynamics of Complex Urban Systems, 2008, pp 311-334 from Springer

Abstract: Abstract Design involves assembling parts into whole to satisfy specified relationships. Binary relations between pairs of elements are not rich enough to represent the generality of this. Powerful though they are, graphs and networks must be extended to multidimensional networks to represent the many subtleties of complex systems. These structures underlie a natural theory of multilevel systems that has within it a kind of structural time defined by multidimensional events. Slow changing relational structure is discriminated from fast moving events captured by patterns of numbers. It will shown that the former acts as a kind of multilevel multidimensional backcloth for the multilevel multidimensional dynamic traffic of the latter. The theory will be illustrated by examples.

Keywords: Binary Relation; Simplicial Complex; Clock Time; Multilevel System; Shared Vertex (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1007/978-3-7908-1937-3_15

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