LEADER 02954nam 2200613 450 001 996466475103316 005 20220910115451.0 010 $a3-540-47763-2 024 7 $a10.1007/BFb0078571 035 $a(CKB)1000000000437536 035 $a(SSID)ssj0000325062 035 $a(PQKBManifestationID)12116386 035 $a(PQKBTitleCode)TC0000325062 035 $a(PQKBWorkID)10320524 035 $a(PQKB)11791339 035 $a(DE-He213)978-3-540-47763-1 035 $a(MiAaPQ)EBC5590884 035 $a(Au-PeEL)EBL5590884 035 $a(OCoLC)1066195146 035 $a(MiAaPQ)EBC6841955 035 $a(Au-PeEL)EBL6841955 035 $a(PPN)155226487 035 $a(EXLCZ)991000000000437536 100 $a20220910d1987 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aNash manifolds /$fMasahiro Shiota 205 $a1st ed. 1987. 210 1$aBerlin, Germany ;$aNew York, New York :$cSpringer-Verlag,$d[1987] 210 4$dİ1987 215 $a1 online resource (VIII, 228 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1269 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a0-387-18102-4 311 $a3-540-18102-4 327 $aPreliminaries -- Approximation theorem -- Affine Cr nash manifolds -- Nonaffine C? nash manifolds -- C0 nash manifolds -- Affine C? nash manifolds. 330 $aA Nash manifold denotes a real manifold furnished with algebraic structure, following a theorem of Nash that a compact differentiable manifold can be imbedded in a Euclidean space so that the image is precisely such a manifold. This book, in which almost all results are very recent or unpublished, is an account of the theory of Nash manifolds, whose properties are clearer and more regular than those of differentiable or PL manifolds. Basic to the theory is an algebraic analogue of Whitney's Approximation Theorem. This theorem induces a "finiteness" of Nash manifold structures and differences between Nash and differentiable manifolds. The point of view of the author is topological. However the proofs also require results and techniques from other domains so elementary knowledge of commutative algebra, several complex variables, differential topology, PL topology and real singularities is required of the reader. The book is addressed to graduate students and researchers in differential topology and real algebraic geometry. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1269 606 $aManifolds (Mathematics)$vCongresses 606 $aComplex manifolds 615 0$aManifolds (Mathematics) 615 0$aComplex manifolds. 676 $a514.34 700 $aShiota$b Masahiro$f1947-$057121 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466475103316 996 $aNash manifolds$978534 997 $aUNISA