homogeneous space
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Homogeneous space
In
mathematics
, in particular in the theory of
Lie groups
,
algebraic groups
and
topological groups
, a homogeneous space for a
group
G is a
manifold
or
topological space
X on which G acts by symmetry in a
transitive
way; it is not assumed that the action of G is
faithful
. That is, there is a
group action
of G on X, respecting the given geometric structure of X, and making X into a single
G-orbit
. (It is assumed, therefore, that X isn't
empty
.)
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Glosarium Pusat Bahasa Depdiknas Indonesia
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homogeneous space
B: (Matematika) ruang homogen
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homogeneous space; Riemannian
B: (Matematika) ruang homogen Riemann
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