ISO TC 211 Geographic information/Geomatics

# ISO/TC 211 Geolexica

## Concept “geometric dimension <geometry, topology>”

Term ID

2163

source

ISO 19107:2019, (E), 3.48

eng

### geometric dimension <geometry, topology>

largest number n such that each point in a set of points can be associated with a subset that has that point in its interior and is topologically isomorphic to 𝔼n, Euclidean n-space

Note to entry: Curves, because they are continuous images of a portion of the real line, have geometric dimension 1. Surfaces cannot always be mapped to RR^2 in their entirety, but around each point position, a small neighborhood can be found that resembles (under continuous functions) the interior of the unit circle in RR^2, and are therefore 2-dimensional. In this document, most surfaces (instances of Surface) are mapped to portions of RR^2 by their defining interpolation mechanisms.

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 geometric dimension in ISO 19107:2003(E)