Abstract
In this chapter we shall embark upon an axiomatization of Einstein-Weyl causality on a set M consisting of points in the sense of Euclidean geometry.1 Our aim is to investigate the mathematical consequences of Einstein-Weyl causality at the local level, and we therefore assume that M carries no predefined mathematical structure. Causal structures have been investigated by other authors, but mainly on spaces which already carried other structures such as a manifold structure (the work of Kronheimer and Penrose is a notable exception). Two of these will be discussed in some detail in Chap. 10.
The erratum of this chapter is available at http://dx.doi.org/10.1007/3-540-37681-X_B
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© 2006 Springer-Verlag Berlin Heidelberg
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Borchers, HJ., Sen, R.N. (2006). Light Rays and Light Cones. In: Mathematical Implications of Einstein-Weyl Causality. Lecture Notes in Physics, vol 709. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-37681-X_3
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DOI: https://doi.org/10.1007/3-540-37681-X_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-37680-4
Online ISBN: 978-3-540-37681-1
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