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Table of contents (18 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Reviews
From the reviews:
"The casual structure of space-times can be described by means of two notions of precedence, namely chronological and casual precedence; one can then abstract these two notions, and the relationship between them, and consider casual spaces in general. … This volume will be of interest in particular to workers in casual analysis, and more generally to those with an interest in the fundamental structure of space-time." (Robert J. Low, Mathematical Reviews, 2007 k)
Authors and Affiliations
Bibliographic Information
Book Title: Mathematical Implications of Einstein-Weyl Causality
Authors: Hans-Jürgen Borchers, Rathindra Nath Sen
Series Title: Lecture Notes in Physics
DOI: https://doi.org/10.1007/3-540-37681-X
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2006
Hardcover ISBN: 978-3-540-37680-4Published: 23 October 2006
Softcover ISBN: 978-3-642-07233-8Published: 19 November 2010
eBook ISBN: 978-3-540-37681-1Published: 22 February 2007
Series ISSN: 0075-8450
Series E-ISSN: 1616-6361
Edition Number: 1
Number of Pages: XII, 190
Number of Illustrations: 37 b/w illustrations
Topics: Theoretical, Mathematical and Computational Physics, Manifolds and Cell Complexes (incl. Diff.Topology), Classical and Quantum Gravitation, Relativity Theory, Differential Geometry