# 2008 SpatialConceptsAndRepofSpatialObjs

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- (Gertz, 2008) ⇒ Michael Gertz. (2008). “Lecture 2 - Spatial Concepts and Representation of Spatial Objects ECS 266 – Spatial Databases, UC Davis.

**Subject Headings:** Topology, Spatial Database

## Notes

- It contains proposed definitions for: Topology, Topology Space, …

## Quotes

### Topology

- 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

### Topological Space

- (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,

Author | volume | Date Value | title | type | journal | titleUrl | doi | note | year | |
---|---|---|---|---|---|---|---|---|---|---|

2008 SpatialConceptsAndRepofSpatialObjs | Michael Gertz | Lecture 2 - Spatial Concepts and Representation of Spatial Objects | http://dbis.ucdavis.edu/courses/ECS266-SQ08/02-concepts.pdf |