in separate areas due to context, but in this subject both vector spaces and projective spaces play important roles and confusion is highly likely. The vector space concept is at times referred to as the algebraic dimension.

Construction

Let denote the vector space of (algebraic) dimension defined over the finite field . The projective space consists of all the positive (algebraic) dimensional vector subspaces of . An alternate way to view the construction is to define the points of as the equivalence classes

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