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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References
Kant I (1781) Critique of pure reason (Kritik der reinen Vernunft) (trans. Smith NK). St. Martins, 1965, New York, pp A 51/B 75
Shraer O, Shperner G Introduction to linear algebra in geometrical interpretation (Einfuhrung in die analytische geometrie und algebra) (trans. Olshansky G). M–L: ОNTI, 1934, pp 210
MacLane S (1971) Categories for the working mathematician. Springer
Intelligent GIS (2013). In V. Popovich (ed). Moscow, Nauka, pp 324 (in Russian)
Blasch E (2002) Fundamentals of information fusion and applications. Tutorial, TD2, Fusion
Ogurtsov AP (1988) Disciplinary Structure of Science. Genesis and Argumentation, Moscow (in Russian)
Detection and Search Theory for Moving Objects (2016). In Popovich V. (ed), Moscow, Nauka, pp 423 (in Russian)
Koopman BO (1956) Theory of search: 2. Target detection. Operations Research. Vol 4, No 5
Eilenberg S, MacLane S (1945) A general theory of natural equivalences. Trans. Amer. Math. Soc. 58:231–294
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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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DOI: https://doi.org/10.1007/978-3-319-59539-9_1
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