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On Location: Points about Regions
by Judith S. Crow & Peter B. Ladkin.
Abstract
In this paper we formalize Whitehead's construction for inducing point structures from region structures using a primitive relation of connection on regions [Whi79]. Our concern is to formulate a spatiotemporal analogue to the construction of temporal periods/points from events, and is reminiscent of the temporal constructions of Kamp [Kam79] and van Benthem [vBen83]. We compare our interpretation of Whitehead with the Kamp/van Benthem/Russell constructions and find some unresolved issues of interdefinability, Our goal is an apposite formulation of spatiotemporal locations as suggested for Situation Theory by Darwise and Perry [BP83],
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