Manifold
id:
manifold-169-3920206
title:
Manifold
text:
In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point. More precisely, an n
-dimensional manifold, or n
-manifold for short, is a topological space with the property that each point has a neighborhood that is homeomorphic to an open subset of n
-dimensional Euclidean space. One-dimensional manifolds include lines and circles, but not self-crossing curves such as a figure 8. Two-dimensional manifolds are also called surfaces. Examples include the
brand slug:
wiki
category slug:
encyclopedia
description:
Topological space that locally resembles Euclidean space
original url:
https://en.wikipedia.org/wiki/Manifold
date created:
2005-06-19T14:42:53Z
date modified:
2024-08-31T10:12:42Z
main entity:
{"identifier":"Q203920","url":"https://www.wikidata.org/entity/Q203920"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/f/f0/Polar_stereographic_projections.jpg","width":4096,"height":2048}
fields total:
13
integrity:
16