Abstract
Two pointsX, Y of a quadricF in an affine or projective space are called 0-distant, writtenX ≈Y, if they coincide or if their connecting line is a subset ofF. In this paper, answers are given to the question under which conditions an arbitrary permutation ϕ ofF satisfyingX ≈Y ⇔Xϕ ≈Yϕ ∀X,Y e F can be extended to a collineation of the given space.
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