Ways of Space-Making — The Early History of Space-Forms from Clifford to Hopf

Por • 14 dic, 2017 • Sección: Leyes

Klaus Volkert

Résumé : At a certain moment in the history of geometry in the 19th century the perplexity was great: The spaces of the traditional geometries (Euclidean of course, spherical and elliptic, hyperbolic) got some “Doppelgänger” – spaces that were very similar to them but with strange qualities. Therefore, two questions raised: How to distinguish between the“traditional” or “real” spaces and their “fictional” Doppelgänger? Can we be sure that we live in traditional Euclidean space and not in one of his Doppelgänger? During this Story mathematicians learned how to produce spaces – there are many ways of space making!

Index de mots clés : Espaces ; formes d’espace ; Clifford ; Killing ; Hopf

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