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001 978-3-540-47763-1
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007 cr nn 008mamaa
008 121227s1987 gw | s |||| 0|eng d
020 _a9783540477631
_9978-3-540-47763-1
024 7 _a10.1007/BFb0078571
_2doi
050 4 _aQA613-613.8
050 4 _aQA613.6-613.66
072 7 _aPBMS
_2bicssc
072 7 _aMAT038000
_2bisacsh
072 7 _aPBMS
_2thema
072 7 _aPBPH
_2thema
082 0 4 _a514.34
_223
100 1 _aShiota, Masahiro.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aNash Manifolds
_h[electronic resource] /
_cby Masahiro Shiota.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1987.
300 _aVIII, 228 p.
_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 Mathematics,
_x0075-8434 ;
_v1269
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 This book, in which almost all results are very recent or unpublished, is an account of the theory of Nash manifolds, whose properties are clearer and more regular than those of differentiable or PL manifolds.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