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Mathematical Implications of Einstein-Weyl Causality de Hans Jürgen Borchers

Mathematical Implications of Einstein-Weyl Causality: Lecture Notes in Physics, cartea 709

Autor Hans Jürgen Borchers, Rathindra Nath Sen
en Limba Engleză Hardback – 23 oct 2006

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Specificații

ISBN-13: 9783540376804
ISBN-10: 3540376801
Pagini: 190
Ilustrații: XII, 190 p. 37 illus.
Dimensiuni: 155 x 235 x 25 mm
Greutate: 0.43 kg
Ediția:2006
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Physics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

Geometrical Structures on Space-Time.- Light Rays and Light Cones.- Local Structure and Topology.- Homogeneity Properties.- Ordered Spaces and Complete Uniformizability.- Spaces with Complete Light Rays.- Consequences of Order Completeness.- The Cushion Problem.- Related Works.- Concluding Remarks.- Erratum to: Geometrical Structures on Space-Time.- Erratum to: Light Rays and Light Cones.- Erratum to: Local Structure and Topology.- Erratum to: Ordered Spaces and Complete Uniformizability.- Erratum to: Spaces with Complete Light Rays.- Erratum to: Consequences of Order Completeness.- Erratum.

Recenzii

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)

Textul de pe ultima copertă

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.