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Part of the book series: Lecture Notes in Geoinformation and Cartography ((LNGC))

Abstract

The major purpose of this paper is to discuss two phenomena: (1) geographic information systems (GIS) and (2) space. The discussion is from a computer science point-of-view. As it is well known, every point in GIS can be presented in 1D, 2D, 3D or nD dimension. If we take a look on linear algebra, we can find definitions of “space” and “subspace.” Therefore, the major point of our discussion is to determine space and subspace in GIS and to introduce some measures for dynamic space borders and other properties that can be calculated by different methods. The complexity of the proposed paper arrives from an original complexity of space definition and because of the fact that it is used in abstract algebra, philosophy, and GIS paradigms together.

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Correspondence to Vasily Popovich .

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Popovich, V. (2018). Space Theory for Intelligent GIS. In: Popovich, V., Schrenk, M., Thill, JC., Claramunt, C., Wang, T. (eds) Information Fusion and Intelligent Geographic Information Systems (IF&IGIS'17). Lecture Notes in Geoinformation and Cartography. Springer, Cham. https://doi.org/10.1007/978-3-319-59539-9_1

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