Mathematical Implications of Einstein-Weyl Causality
Publication year: 2006
: 978-3-540-37681-1
The present work is the first systematic attempt at answering the following fundamental question: what mathematical structures does Einstein-Weyl causality impose on a point-set that has no other previous structure defined on it? The authors propose an axiomatization of Einstein-Weyl causality (inspired by physics), and investigate the topological and uniform structures that it implies. Their final result is that a causal space is densely embedded in one that is locally a differentiable manifold. The mathematical level required of the reader is that of the graduate student in mathematical physics.
: Physics and Astronomy, causality, differentiable manifolds, manifold, mathematical physics, relativity, topological spaces
