# Topology Space

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**See:** Location, Topology, Metric Space.

## References

### 2008

- (Gertz, 2008) ⇒ Michael Gertz. (2008). “Lecture 2 - Spatial Concepts and Representation of Spatial Objects ECS 266 – Spatial Databases, UC Davis.
- (Def) A topological space is a set X of elements, called points, with a collection T of subsets of X, called open sets, that satisfy the following three axioms:
- [A1] The empty set and X are in T.
- [A2] The union of any collection of sets in T is also in T.
- [A3] The intersection of any pair of sets in T is also in T

- (Def) A topological space is a set X of elements, called points, with a collection T of subsets of X, called open sets, that satisfy the following three axioms: