[Euclidean geometry]
The study of the properties and spatial relationships of figures that remain unchanged even when they are bent, stretched, or otherwise distorted.
[Esri software]
In geodatabases, the arrangement that constrains how point, line, and polygon features share geometry. For example, street centerlines and census blocks share geometry, and adjacent soil polygons share geometry. Geodatabase topology defines and enforces data integrity rules (for example, there should be no gaps between polygons), and topological relationship queries, navigation, editing, and feature construction.