TY  - BOOK
AU  - Borchers,Hans-Jürgen
AU  - Sen,Rathindra Nath
ED  - SpringerLink (Online service)
TI  - Mathematical Implications of Einstein-Weyl Causality
T2  - Lecture Notes in Physics,
SN  - 9783540376811
AV  - QC19.2-20.85 
U1  - 530.1 23
PY  - 2006///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg, Imprint: Springer
KW  - Physics
KW  - Global differential geometry
KW  - Cell aggregation
KW  - Mathematics
KW  - Theoretical, Mathematical and Computational Physics
KW  - Manifolds and Cell Complexes (incl. Diff.Topology)
KW  - Classical and Quantum Gravitation, Relativity Theory
KW  - Differential Geometry
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/3-540-37681-X
ER  -