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On the notion of space in geometry
Authors:Vagn Lundsgaard Hansen Prof Dr
Institution:1. Department of Mathematics, Technical University of Denmark, Building 303, DK-2800, Lyngby, Denmark
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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