Solenoid (mathematics)
（重定向自Solenoid group）
- This page discusses a class of topological groups. For the wrapped loop of wire, see Solenoid.
In mathematics, a solenoid is a compact connected topological space (i.e. a continuum) that may be obtained as the inverse limit of an inverse system of topological groups and continuous homomorphisms
where each Si is a circle and fi is the map that uniformly wraps the circle Si+1 ni times (ni ≥ 2) around the circle Si. This construction can be carried out geometrically in the three-dimensional Euclidean space R. A solenoid is a one-dimensional homogeneous indecomposable continuum that has the structure of a compact topological group.