LEADER 03293nam 2200637 450 001 996466658103316 005 20220912123905.0 010 $a3-540-46078-0 024 7 $a10.1007/BFb0084994 035 $a(CKB)1000000000437440 035 $a(SSID)ssj0000323632 035 $a(PQKBManifestationID)12116211 035 $a(PQKBTitleCode)TC0000323632 035 $a(PQKBWorkID)10299834 035 $a(PQKB)10894196 035 $a(DE-He213)978-3-540-46078-7 035 $a(MiAaPQ)EBC5585195 035 $a(Au-PeEL)EBL5585195 035 $a(OCoLC)1066193333 035 $a(MiAaPQ)EBC6842471 035 $a(Au-PeEL)EBL6842471 035 $a(PPN)155174398 035 $a(EXLCZ)991000000000437440 100 $a20220912d1989 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aGrassmannians and Gauss maps in piecewise-linear topology /$fNorman Levitt 205 $a1st ed. 1989. 210 1$aBerlin, Germany ;$aNew York, New York :$cSpringer-Verlag,$d[1989] 210 4$dİ1989 215 $a1 online resource (V, 203 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1366 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a0-387-50756-6 311 $a3-540-50756-6 327 $aLocal formulae for characteristic classes -- Formal links and the PL grassmannian G n,k -- Some variations of the G n,k construction -- The immersion theorem for subcomplexes of G n,k -- Immersions equivariant with respect to orthogonal actions on Rn+k -- Immersions into triangulated manifolds (with R. Mladineo) -- The grassmannian for piecewise smooth immersions -- Some applications to smoothing theory -- Equivariant piecewise differentiable immersions -- Piecewise differentiable immersions into riemannian manifolds. 330 $aThe book explores the possibility of extending the notions of "Grassmannian" and "Gauss map" to the PL category. They are distinguished from "classifying space" and "classifying map" which are essentially homotopy-theoretic notions. The analogs of Grassmannian and Gauss map defined incorporate geometric and combinatorial information. Principal applications involve characteristic class theory, smoothing theory, and the existence of immersion satifying certain geometric criteria, e.g. curvature conditions. The book assumes knowledge of basic differential topology and bundle theory, including Hirsch-Gromov-Phillips theory, as well as the analogous theories for the PL category. The work should be of interest to mathematicians concerned with geometric topology, PL and PD aspects of differential geometry and the geometry of polyhedra. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1366 606 $aDifferential topology 606 $aPiecewise linear topology 606 $aGrassmann manifolds 615 0$aDifferential topology. 615 0$aPiecewise linear topology. 615 0$aGrassmann manifolds. 676 $a514.34 700 $aLevitt$b N$g(Norman),$f1943-$056520 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466658103316 996 $aGrassmannians and Gauss maps in piecewise-linear topology$980216 997 $aUNISA