Spaces with complete light rays

Hans Jürgen Borchers, Rathindra Nath Sen

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

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.

Original languageEnglish
Title of host publicationMathematical Implications of Einstein-Weyl Causality
Pages95-101
Number of pages7
DOIs
StatePublished - 1 Dec 2006

Publication series

NameLecture Notes in Physics
Volume709
ISSN (Print)0075-8450

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