Mathematical Implications of Einstein-Weyl Causality

Author:   Hans Jürgen Borchers ,  Rathindra Nath Sen
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   Softcover reprint of hardcover 1st ed. 2006
Volume:   709
ISBN:  

9783642072338


Pages:   190
Publication Date:   19 November 2010
Format:   Paperback
Availability:   Out of stock   Availability explained
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Mathematical Implications of Einstein-Weyl Causality


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Overview

Here is a systematic approach to such fundamental questions as: What mathematical structures does Einstein-Weyl causality impose on a point-set that has no other previous structure defined on it? The author proposes an axiomatization of the physics inspired notion of Einstein-Weyl causality and investigating the consequences in terms of possible topological spaces. One significant result is that the notion of causality can effectively be extended to discontinuum.

Full Product Details

Author:   Hans Jürgen Borchers ,  Rathindra Nath Sen
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of hardcover 1st ed. 2006
Volume:   709
Dimensions:   Width: 15.50cm , Height: 1.00cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9783642072338


ISBN 10:   364207233
Pages:   190
Publication Date:   19 November 2010
Audience:   Professional and scholarly ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

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.

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)


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)


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