Mathematical implications of Einstein-Weyl causality (Q2433631)

Roughly speaking, the purpose of the present monograph is to show, that spaces satisfying Einstein-Weyl causality are densely embedded in spaces that have locally but not necessarily globally the structure of a differentiable manifold. To this end, all necessary mathematical background is well motivated and clearly defined; the difference to other books on the same topic is that the topological background and the projective structure of spacetimes is presented in details. Furthermore, the order structure and its distinction from topological structure is elucidated, both for special and for general relativity theory. Appendices on uniformities, on axioms, and on fibre bundles are useful additions, as is the carefully chosen reference list.