claim: James Brolin is a Republican.
evidence: In geometry a hyperplane is a subspace of one dimension less than its ambient space .. geometry. geometry. dimension. dimension. ambient space. ambient space. space. space ( geometry ). If a space is 3-dimensional then its hyperplanes are the 2-dimensional planes , while if the space is 2-dimensional , its hyperplanes are the 1-dimensional lines .. planes. plane ( geometry ). lines. line ( geometry ). space. space ( geometry ). This notion can be used in any general space in which the concept of the dimension of a subspace is defined .. dimension. dimension. space. space ( geometry ). In different settings , the objects which are hyperplanes may have different properties .. For instance , a hyperplane of an n-dimensional affine space is a flat subset with dimension n − 1 .. dimension. dimension. space. space ( geometry ). affine space. affine space. flat. flat ( geometry ). subset. subset. By its nature , it separates the space into two half spaces .. space. space ( geometry ). But a hyperplane of an n-dimensional projective space does not have this property .. space. space ( geometry ). projective space. projective space