A construction is described in [2] by which, given two or more geometries of the same rank n, each equipped with a suitable parallelism giving rise to the same geometry at infinity, we can glue them together along their geometries at infinity, thus obtaininig a new geometry of rank n + k - 1, k being the number of geometries we glue. In this paper we will examine a special case of that construction, namely the gluing of two affine spaces.
Pasini, A. (1996). Gluing two affine spaces. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY SIMON STEVIN, 3(1), 25-40 [10.36045/bbms/1105540757].
Gluing two affine spaces
PASINI A.
1996-01-01
Abstract
A construction is described in [2] by which, given two or more geometries of the same rank n, each equipped with a suitable parallelism giving rise to the same geometry at infinity, we can glue them together along their geometries at infinity, thus obtaininig a new geometry of rank n + k - 1, k being the number of geometries we glue. In this paper we will examine a special case of that construction, namely the gluing of two affine spaces.
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https://hdl.handle.net/11365/7082
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