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Abstract

The end goal of this chapter is to obtain categorical axiomatisations of the nonsingular metric affine spaces over R4. There are three of these: Minkowskian spacetime, Euclidean four-space, and a new geometry whose description we take up immediately.

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© 1987 Springer-Verlag New York Inc.

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Goldblatt, R. (1987). Fourfolds. In: Orthogonality and Spacetime Geometry. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-6345-3_5

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  • DOI: https://doi.org/10.1007/978-1-4684-6345-3_5

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-96519-2

  • Online ISBN: 978-1-4684-6345-3

  • eBook Packages: Springer Book Archive

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