000 | 03247nam a22005055i 4500 | ||
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001 | 978-3-540-46078-7 | ||
003 | DE-He213 | ||
005 | 20190213151432.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1989 gw | s |||| 0|eng d | ||
020 |
_a9783540460787 _9978-3-540-46078-7 |
||
024 | 7 |
_a10.1007/BFb0084994 _2doi |
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050 | 4 | _aQA613-613.8 | |
050 | 4 | _aQA613.6-613.66 | |
072 | 7 |
_aPBMS _2bicssc |
|
072 | 7 |
_aMAT038000 _2bisacsh |
|
072 | 7 |
_aPBMS _2thema |
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072 | 7 |
_aPBPH _2thema |
|
082 | 0 | 4 |
_a514.34 _223 |
100 | 1 |
_aLevitt, Norman. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aGrassmannians and Gauss Maps in Piecewise-linear Topology _h[electronic resource] / _cby Norman Levitt. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1989. |
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300 |
_aV, 203 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1366 |
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505 | 0 | _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. | |
520 | _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. | ||
650 | 0 |
_aCell aggregation _xMathematics. |
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650 | 0 | _aGlobal differential geometry. | |
650 | 1 | 4 |
_aManifolds and Cell Complexes (incl. Diff.Topology). _0http://scigraph.springernature.com/things/product-market-codes/M28027 |
650 | 2 | 4 |
_aDifferential Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M21022 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662206362 |
776 | 0 | 8 |
_iPrinted edition: _z9783540507567 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1366 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0084994 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c10665 _d10665 |