On the notion of space in geometry |
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Authors: | Vagn Lundsgaard Hansen Prof Dr |
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Institution: | 1. Department of Mathematics, Technical University of Denmark, Building 303, DK-2800, Lyngby, Denmark
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Abstract: | The development of the notion of space in geometry is traced from the early axiomatization in Euclid’s Elements over the discovery of non-Euclidean geometries to geometry of manifolds in relativity theory and in gauge and string theories in contemporary physics. The notion of space is considered in a historic-philosophical perspective including a short discussion of the contributions of artists to visualization of spatial objects. |
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