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homogeneous space
(redirected from Coset space)

   Also found in: Wikipedia 0.01 sec.
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 pointsxandysome transformation from the group will sendxtoy.


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It is to be noted that many well-known hypergroups forming wide classes as join spaces, weak cogroups, double coset spaces, polygroups and canonical hypergroups, including ordinary groups and also some geometrically motivated noncommutative hyperstructures are all transposition hypergroups.
 
 
 
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