000 03117nam a22005175i 4500
001 978-3-540-37681-1
003 DE-He213
005 20160624101842.0
007 cr nn 008mamaa
008 100301s2006 gw | s |||| 0|eng d
020 _a9783540376811
_9978-3-540-37681-1
024 7 _a10.1007/3-540-37681-X
_2doi
050 4 _aQC19.2-20.85
072 7 _aPHU
_2bicssc
072 7 _aSCI040000
_2bisacsh
082 0 4 _a530.1
_223
100 1 _aBorchers, Hans-Jürgen.
_eauthor.
245 1 0 _aMathematical Implications of Einstein-Weyl Causality
_h[electronic resource] /
_cby Hans-Jürgen Borchers, Rathindra Nath Sen.
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2006.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2006.
300 _aXII, 190 p. 37 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics,
_x0075-8450 ;
_v709
505 0 _aGeometrical 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.
520 _aThe 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.
650 0 _aPhysics.
650 0 _aGlobal differential geometry.
650 0 _aCell aggregation
_xMathematics.
650 1 4 _aPhysics.
650 2 4 _aTheoretical, Mathematical and Computational Physics.
650 2 4 _aManifolds and Cell Complexes (incl. Diff.Topology).
650 2 4 _aClassical and Quantum Gravitation, Relativity Theory.
650 2 4 _aDifferential Geometry.
700 1 _aSen, Rathindra Nath.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540376804
786 _dSpringer
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v709
856 4 0 _uhttp://dx.doi.org/10.1007/3-540-37681-X
942 _2EBK2199
_cEBK
999 _c31493
_d31493