Abstract
In this chapter we shall establish some results that hold in ordered spaces in which light rays are complete (in which case they are locally homeomorphic with ℝ),1 but the space as a whole need not be order complete. We begin with an example of such a space, which is infinite-dimensional. We should add that we know of no example of a finite-dimensional ordered space in which light rays are complete but the space itself in not (order) complete. The phenomenon could be peculiar to infinite-dimensional spaces.
The erratum of this chapter is available at http://dx.doi.org/10.1007/3-540-37681-X_16
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© 2006 Springer-Verlag Berlin Heidelberg
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Borchers, HJ., Sen, R.N. (2006). Spaces with Complete Light Rays. 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_7
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DOI: https://doi.org/10.1007/3-540-37681-X_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-37680-4
Online ISBN: 978-3-540-37681-1
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