Homogeneous space
= Homogeneous space
{wiki=Homogeneous_space}
A homogeneous space is a mathematical structure that exhibits a high degree of symmetry. More formally, in the context of geometry and algebra, a homogeneous space can be defined as follows: 1. **Definition**: A space \\(X\\) is called a homogeneous space if for any two points \\(x, y \\in X\\), there exists a symmetry operation (usually described by a group action) that maps \\(x\\) to \\(y\\).