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borchers hans jürgen; sen rathindra nath - mathematical implications of einstein-weyl causality

Mathematical Implications of Einstein-Weyl Causality

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Dettagli

Genere:Libro
Lingua: Inglese
Editore:

Springer

Pubblicazione: 11/2010
Edizione: Softcover reprint of hardcover 1st ed. 2006





Trama

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.





Sommario

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.










Altre Informazioni

ISBN:

9783642072338

Condizione: Nuovo
Collana: Lecture Notes in Physics
Dimensioni: 235 x 155 mm
Formato: Brossura
Illustration Notes:XII, 190 p. 37 illus.
Pagine Arabe: 190
Pagine Romane: xii


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