Ambient space (mathematics)
id:
ambient-space-mathematics-222-1461765
title:
Ambient space (mathematics)
text:
In mathematics, especially in geometry and topology, an ambient space is the space surrounding a mathematical object along with the object itself. For example, a 1-dimensional line may be studied in isolation —in which case the ambient space of l is l, or it may be studied as an object embedded in 2-dimensional Euclidean space —in which case the ambient space of l is R 2, or as an object embedded in 2-dimensional hyperbolic space —in which case the ambient space of l is H 2. To see why this make
brand slug:
wiki
category slug:
encyclopedia
description:
The space surrounding an object
original url:
https://en.wikipedia.org/wiki/Ambient_space_(mathematics)
date created:
2005-10-07T14:04:57Z
date modified:
2024-09-14T00:51:09Z
main entity:
{"identifier":"Q3888851","url":"https://www.wikidata.org/entity/Q3888851"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/5/5e/Euclidian_and_non_euclidian_geometry.png","width":4000,"height":1500}
fields total:
13
integrity:
16