nonsingular polarity

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Polar space — In mathematics, in the field of combinatorics, a polar space of rank n ( n ge; 3), or projective index n −1, consists of a set P , conventionally the set of points, together with certain subsets of P , called subspaces , that satisfy these axioms … Wikipedia
Collineation — In projective geometry, a collineation is a one to one and onto map (a bijection) from one projective space to another, or from a projective space to itself, such that the images of collinear points are themselves collinear. All projective linear … Wikipedia

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