Mathematical implications of Einstein-Weyl causality / Hans-Jürgen Borchers, Rathindra Nath Sen.
Contributor(s): Sen, Rathindra NathMaterial type: TextSeries: Lecture notes in physics: 709.Publisher: Berlin ; New York : Springer, ©2006Description: 1 online resource (xii, 189 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 3540376801; 9783540376804; 9783540376811; 354037681X; 6610800391; 9786610800391Subject(s): Causality (Physics) | Causalité (Physique) | SCIENCE -- Physics -- General | SCIENCE -- Mechanics -- General | SCIENCE -- Energy | Causality (Physics) | Physique | Causality (Physics)Genre/Form: Electronic books. Additional physical formats: Print version:: Mathematical implications of Einstein-Weyl causality.DDC classification: 530.01 LOC classification: QC6.4.C3 | B67 2006Other classification: O41 Online resources: Click here to access online
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Includes bibliographical references (pages 179-189) and index.
"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.
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.
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