Topology

4 important questions on Topology

What is the definition of Topology in GIS?

The study of topological transformations and the properties that are left invariant by them

What is a Topological relationship?

Spatial relationships that are preserved under ‘rubber-sheet’ transformations, which continuously deform the underlying space

What is the 4 Intersection method?

Large number of different relationships?
When there is a boundary there is also an interior à all the points of the polygon – points of the boundary
Set representation:
4 each 2 polygons, define 4 mathematical sets à the intersection
When you have 4 times yes: X Overlaps Y
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What is the Calculus-bases method?

Based on operators and relationships
             Topological relationships: r
             Touch
             In
             Cross
             Overlap
             Disjoint

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