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Mathematical Implications of Einstein-Weyl Causality
Lecture Notes in Physics 709
ISBN/EAN: 9783642072338
Umbreit-Nr.: 1528264
Sprache:
Englisch
Umfang: xii, 190 S., 37 s/w Illustr., 190 p. 37 illus.
Format in cm:
Einband:
kartoniertes Buch
Erschienen am 19.11.2010
Auflage: 1/2006
- Zusatztext
- InhaltsangabeGeometrical 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.
- Kurztext
- 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.