ISO TC 211 Geographic information/Geomatics

# ISO/TC 211 Geolexica

## Concept “simple <topology, geometry>”

Term ID

2250

source

ISO 19107:2019, (E), 3.84

eng

### simple <topology, geometry>

homogeneous (all points have isomorphic neighborhoods) and with a simple boundary

Note to entry: The interior is everywhere locally isomorphic to an open disc in a Euclidean coordinate space of the appropriate dimension D^n = {P | norm P < 1.0}. The boundary is a dimension one smaller. This essentially means that the object does not intersect nor touch itself. Generally used for a curve that does not cross not touch itself with the possible exception of boundary points. Simple closed curves are isomorphic to a circle.

ORIGIN: ISO/TC 211 Glossary of Terms - English (last updated: 2020-06-02)

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info

• status: valid
• classification: preferred
• date accepted: 2019-12-02

Review

last review performed:
(2019-12-02)
status:
final
decision:
accepted
decision event:
Publication of document ISO 19107:2019(E)
notes:
This entry supersedes the entry for simple in ISO 19107:2003(E)