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Record Nr. |
UNINA9910146623903321 |
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Autore |
Borchers Hans-Jürgen <1926-> |
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Titolo |
Mathematical implications of Einstein-Weyl causality / / Hans Jürgen Borchers, Rathindra Nath Sen |
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Pubbl/distr/stampa |
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Berlin ; ; Heidelberg : , : Springer-Verlag, , [2006] |
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©2006 |
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ISBN |
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1-280-80039-9 |
9786610800391 |
3-540-37681-X |
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Edizione |
[1st ed. 2006.] |
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Descrizione fisica |
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1 online resource (194 p.) |
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Collana |
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Lecture Notes in Physics ; ; Volume 709 |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di contenuto |
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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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Sommario/riassunto |
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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. |
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