The complement of a point subset in a projective space and a Grassmann space |
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Affiliation: | Institute of Mathematics, University of Białystok, Akademicka 2, 15-267 Białystok, Poland |
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Abstract: | In a projective space we fix some set of points, a horizon, and investigate the complement of that horizon. We prove, under some assumptions on the size of lines, that the ambient projective space, together with its horizon, both can be recovered in that complement. Then we apply this result to show something similar for Grassmann spaces. |
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Keywords: | Projective space Affine space Grassmann space Slit space Complement |
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