Mathematical Implications of Einstein-Weyl Causality

• Main Authors: Borchers, Hans-Jürgen (Author), Sen, Rathindra Nath (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006.
• Series: Lecture Notes in Physics, 709
• Subjects: Physics.; Differential geometry.; Manifolds (Mathematics).; Complex manifolds.; Gravitation.; Theoretical, Mathematical and Computational Physics.; Manifolds and Cell Complexes (incl. Diff.Topology).; Classical and Quantum Gravitation, Relativity Theory.; Differential Geometry.
• Physical Description: XII, 190 p. 37 illus. online resource.
• ISBN: 9783540376811
• ISSN: 0075-8450 ;

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.