Mathematical implications of Einstein-Weyl causality /

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Bibliographic Details
Author / Creator:Borchers, Hans-Jürgen, 1926-
Imprint:Berlin ; New York : Springer, ©2006.
Description:1 online resource (xii, 189 pages) : illustrations.
Language:English
Series:Lecture notes in physics, 0075-8450 ; 709
Lecture notes in physics ; 709.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11065909
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Other authors / contributors:Sen, Rathindra Nath.
ISBN:3540376801
9783540376804
9783540376811
354037681X
364207233X
9783642072338
Notes:Includes bibliographical references (pages 179-189) and index.
Restrictions unspecified
Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2011.
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212
digitized 2011 HathiTrust Digital Library committed to preserve
Summary:"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."--Jacket.
Other form:Print version: Borchers, Hans-Jürgen, 1926- Mathematical implications of Einstein-Weyl causality. Berlin ; New York : Springer, ©2006 3540376801 9783540376804
Table of Contents:
  • Introduction.
  • Geometrical Structures on Space-Time.
  • Light Rays and Light Cones.
  • Local Structure and Topology.
  • Homogeneity Properties.
  • Order and Uniformizability.
  • Spaces With Complete Light Rays.
  • Consequences of Order Completeness.
  • The Cushion Problem.
  • Related Works.
  • Concluding Remarks.