Solenoid (mathematics)
id:
solenoid-mathematics-297-7113429
title:
Solenoid (mathematics)
text:
In mathematics, a solenoid is a compact connected topological space that may be obtained as the inverse limit of an inverse system of topological groups and continuous homomorphisms where each S i is a circle and fi is the map that uniformly wraps the circle S i + 1 for n i + 1 times around the circle S i .
This construction can be carried out geometrically in the three-dimensional Euclidean space R3. A solenoid is a one-dimensional homogeneous indecomposable continuum that has the structure of
brand slug:
wiki
category slug:
encyclopedia
description:
Class of compact connected topological spaces
original url:
https://en.wikipedia.org/wiki/Solenoid_(mathematics)
date created:
date modified:
2024-02-14T21:35:54Z
main entity:
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image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/5/5f/Cyclic_group.svg","width":443,"height":431}
fields total:
13
integrity:
15