Topology

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A Topology is a shape that is preserved under continuous deformations, such as stretching and bending (but not tearing or gluing).



References

2016

2008

  • (Gertz, 2008) ⇒ Michael Gertz. (2008). “Lecture 2 - Spatial Concepts and Representation of Spatial Objects ECS 266 – Spatial Databases, UC Davis.
    • Branch of mathematics that deals with spatial relationships that are preserved under bicontinuous deformation (stretching without tearing or gluing),
    • sometimes called rubber-sheet geometry.
    • The idea is that some geometric problems do not depend on the exact shape of objects involved, but rather on the way objects are “connected to each other”
    • Spaces studied in topology are called topological spaces.
    • Elementary topology is often called point-set topology