Mathematical Implications of Einstein-Weyl Causality

✍ Scribed by Hans-Jürgen Borchers, Rathindra Nath Sen (auth.)

• Book ID: 127423200
• Publisher: Springer
• Year: 2006
• Tongue: English
• Weight: 1 MB
• Edition: 1
• Category: Library
• City: Berlin; New York
• ISBN: 354037681X
• ISSN: 0075-8450
• DOI: 10.1007/3-540-37681-X

✦ Synopsis

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.

✦ Subjects

Differential Geometry