LEADER 02999nam 2200601 450 001 9910146623903321 005 20220922125311.0 010 $a1-280-80039-9 010 $a9786610800391 010 $a3-540-37681-X 024 7 $a10.1007/3-540-37681-X 035 $a(CKB)1000000000282348 035 $a(EBL)3036562 035 $a(SSID)ssj0000199092 035 $a(PQKBManifestationID)11171675 035 $a(PQKBTitleCode)TC0000199092 035 $a(PQKBWorkID)10184369 035 $a(PQKB)10832680 035 $a(DE-He213)978-3-540-37681-1 035 $a(MiAaPQ)EBC3036562 035 $a(MiAaPQ)EBC6880834 035 $a(Au-PeEL)EBL6880834 035 $a(PPN)12313756X 035 $a(EXLCZ)991000000000282348 100 $a20220922d2006 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMathematical implications of Einstein-Weyl causality /$fHans Ju?rgen Borchers, Rathindra Nath Sen 205 $a1st ed. 2006. 210 1$aBerlin ;$aHeidelberg :$cSpringer-Verlag,$d[2006] 210 4$dİ2006 215 $a1 online resource (194 p.) 225 1 $aLecture Notes in Physics ;$vVolume 709 300 $aDescription based upon print version of record. 311 $a3-540-37680-1 327 $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. 330 $aThe present work is the first systematic attempt at answering the following fundamental question: what mathematical structures does Einstein-Weyl causality impose on a point-set that has no other previous structure defined on it? The authors propose an axiomatization of Einstein-Weyl causality (inspired by physics), and investigate the topological and uniform structures that it implies. Their final result is that a causal space is densely embedded in one that is locally a differentiable manifold. The mathematical level required of the reader is that of the graduate student in mathematical physics. 410 0$aLecture notes in physics ;$vVolume 709. 606 $aCausality (Physics) 615 0$aCausality (Physics) 676 $a530.01 700 $aBorchers$b Hans-Ju?rgen$f1926-$047365 702 $aSen$b Rathindra Nath 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910146623903321 996 $aMathematical Implications of Einstein-Weyl Causality$92522513 997 $aUNINA