000 | 02875nam a22004815i 4500 | ||
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001 | 978-3-540-47763-1 | ||
003 | DE-He213 | ||
005 | 20190213151822.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1987 gw | s |||| 0|eng d | ||
020 |
_a9783540477631 _9978-3-540-47763-1 |
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024 | 7 |
_a10.1007/BFb0078571 _2doi |
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050 | 4 | _aQA613-613.8 | |
050 | 4 | _aQA613.6-613.66 | |
072 | 7 |
_aPBMS _2bicssc |
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072 | 7 |
_aMAT038000 _2bisacsh |
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072 | 7 |
_aPBMS _2thema |
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072 | 7 |
_aPBPH _2thema |
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082 | 0 | 4 |
_a514.34 _223 |
100 | 1 |
_aShiota, Masahiro. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aNash Manifolds _h[electronic resource] / _cby Masahiro Shiota. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1987. |
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300 |
_aVIII, 228 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 |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1269 |
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505 | 0 | _aPreliminaries -- Approximation theorem -- Affine Cr nash manifolds -- Nonaffine C? nash manifolds -- C0 nash manifolds -- Affine C? nash manifolds. | |
520 | _aA Nash manifold denotes a real manifold furnished with algebraic structure, following a theorem of Nash that a compact differentiable manifold can be imbedded in a Euclidean space so that the image is precisely such a manifold. This book, in which almost all results are very recent or unpublished, is an account of the theory of Nash manifolds, whose properties are clearer and more regular than those of differentiable or PL manifolds. Basic to the theory is an algebraic analogue of Whitney's Approximation Theorem. This theorem induces a "finiteness" of Nash manifold structures and differences between Nash and differentiable manifolds. The point of view of the author is topological. However the proofs also require results and techniques from other domains so elementary knowledge of commutative algebra, several complex variables, differential topology, PL topology and real singularities is required of the reader. The book is addressed to graduate students and researchers in differential topology and real algebraic geometry. | ||
650 | 0 |
_aCell aggregation _xMathematics. |
|
650 | 1 | 4 |
_aManifolds and Cell Complexes (incl. Diff.Topology). _0http://scigraph.springernature.com/things/product-market-codes/M28027 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662203781 |
776 | 0 | 8 |
_iPrinted edition: _z9783540181026 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1269 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0078571 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c11988 _d11988 |