The noncanonical gluings of affine spaces


Given two geometries each equipped with a suitable parallelism giving rise to the same geometry at infinity, a new geometry can be constructed by gluing the two geometries together along their geometry at infinity. If this identification is done by a non semilinear automorphism the gluing is called non canonical. In this paper we determine the noncanonical gluings of affine spaces together with their universal coverings. We also construct the universal covering of the canonical gluings.

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