Layers: A New Approach to Locating Objects in Space

In W. Kuhn M. F. Worboys & S. Timpf (eds.), Spatial Information Theory: Foundations of Geographic Informa­tion Science. Springer. pp. 50-65 (2003)
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Abstract

Standard theories in mereotopology focus on relations of parthood and connection among spatial or spatio-temporal regions. Objects or processes which might be located in such regions are not normally directly treated in such theories. At best, they are simulated via appeal to distributions of attributes across the regions occupied or by functions from times to regions. The present paper offers a richer framework, in which it is possible to represent directly the relations between entities of various types at different levels, including both objects and the regions they occupy. What results is a layered mereotopology, a theory which can handle multiple layers (analogous to the layers of a lasagna) of spatially or spatiotemporally coincident but mereologically non-overlapping entities.

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Author Profiles

Barry Smith
University at Buffalo
Maureen Donnelly
State University of New York, Buffalo

Citations of this work

Spatial Reasoning and Ontology: Parts, Wholes, and Locations.Achille C. Varzi - 2007 - In Marco Aiello, Ian E. Pratt-Hartmann & Johan van Benthem (eds.), Handbook of Spatial Logics. Springer Verlag. pp. 945-1038.
Boundary.Achille C. Varzi - 2013 - Stanford Encyclopedia of Philosophy.
Emergent Design.Kent Palmer - 2009 - Dissertation, University of South Australia

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References found in this work

Parts: A Study in Ontology.Peter Simons - 1987 - Oxford, England: Clarendon Press.
Parts. A Study in Ontology.Peter Simons - 1989 - Revue Philosophique de la France Et de l'Etranger 179 (1):131-132.
Mereotopology: A theory of parts and boundaries.Barry Smith - 1996 - Data and Knowledge Engineering 20 (3):287–303.

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