Abstract
A spatial database contains information about several two-dimensional regions. Of all queries one may ask about such a database, the topological queries are those that are invariant under continuous invertible deformations and reflections of the database. For example, of these three queries ‘region A has larger area than region B’, ‘region A is above region B’ and ‘region A and region B have a connected intersection,’ only the third one is topological. Topological queries form a robust and practically interesting subclass of all possible queries one may want to ask of a spatial database. Furthermore, they give rise to an unexpectedly complex and rich theory.
Research partially supported by the National Science Foundation.
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Papadimitriou, C.H. (1999). Topological Queries. In: Güting, R.H., Papadias, D., Lochovsky, F. (eds) Advances in Spatial Databases. SSD 1999. Lecture Notes in Computer Science, vol 1651. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48482-5_1
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DOI: https://doi.org/10.1007/3-540-48482-5_1
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