homogeneous space

(redirected from Homogenous space)

homogeneous space

[‚hä·mə′jē·nē·əs ′spās]
(mathematics)
A topological space having a group of transformations acting upon it, that is, a transformation group, where for any two points x and y some transformation from the group will send x to y.
References in periodicals archive ?
That is in every homogenous space a propagation velocity of every information to every recorder for every frame reference equals to 1.
Cyberspace is not a homogenous space 'out there' nor is it an isolated, contextual free-of-form dialogue.
Flows on homogenous spaces of algebraic groups or Lie groups, and dynamics on moduli spaces of abelian or quadratic differentials on surfaces are distinct but related areas of research with some common roots and features.