A Space which is invariant under the Group of all general Linear homogeneous transformation in the Space concerned, but not under all the transformations of any Group containing as a Subgroup.

A projective space is the space of 1-D Vector Subspaces of a given Vector Space. For Real Vector Spaces, the Notation or denotes the Real projective space of dimension (i.e., the Space of 1-D Vector Subspaces of ) and denotes the Complex projective space of Complex dimension (i.e., the space of 1-D Complex Vector Subspaces of ). can also be viewed as the set consisting of together with its Points at Infinity.

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1999-05-26