+ Vorlesungsskript

Topologie Folie 3
zum Beispiel GML Spezifikation 3.1 (ISO 19136)
Topology is the branch of mathematics describing the properties of
objects which are invariant under continuous deformation. For
example, a circle is topologically equivalent to an ellipse because one
can be transformed into the other by stretching.
In geographic modelling, the foremost use of topology is in accelerating
computational geometry. The constructs of topology allow
characterisation of the spatial relationships between objects using
simple combinatorial or algebraic algorithms. Topology, realised by the
appropriate geometry, also allows a compact and unambiguous
mechanism for expressing shared geometry among geographic
features.
Laube, Meile: Räumliche Datenbanken Thema 1: Einführung Topologie
Vorlesung 8 - Seite 7