Extended parallelity in spine spaces and its geometry |
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Authors: | Krzysztof Prażmowski Mariusz Żynel |
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Affiliation: | (1) Institute of Mathematics, University of Bialystok, ul. Akademicka 2, 15-267 Bialystok, Poland |
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Abstract: | The notion of extended parallelity is introduced in an arbitrary spine space, and rudimentary properties of the obtained geometry are presented. The extended parallelity is used in the development of the theory of spine spaces. Also, the horizon and dilatation group relative to this parallelity are examined. |
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Keywords: | 51A15 51A45 |
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