02954nam 2200613 450 99646647510331620220910115451.03-540-47763-210.1007/BFb0078571(CKB)1000000000437536(SSID)ssj0000325062(PQKBManifestationID)12116386(PQKBTitleCode)TC0000325062(PQKBWorkID)10320524(PQKB)11791339(DE-He213)978-3-540-47763-1(MiAaPQ)EBC5590884(Au-PeEL)EBL5590884(OCoLC)1066195146(MiAaPQ)EBC6841955(Au-PeEL)EBL6841955(PPN)155226487(EXLCZ)99100000000043753620220910d1987 uy 0engurnn|008mamaatxtccrNash manifolds /Masahiro Shiota1st ed. 1987.Berlin, Germany ;New York, New York :Springer-Verlag,[1987]©19871 online resource (VIII, 228 p.) Lecture Notes in Mathematics,0075-8434 ;1269Bibliographic Level Mode of Issuance: Monograph0-387-18102-4 3-540-18102-4 Preliminaries -- Approximation theorem -- Affine Cr nash manifolds -- Nonaffine C? nash manifolds -- C0 nash manifolds -- Affine C? nash manifolds.A 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 This book, in which almost all results are very recent or unpublished, is an account of the theory of Nash manifolds, whose properties are clearer and more regular than those of differentiable or PL manifolds.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.Lecture Notes in Mathematics,0075-8434 ;1269Manifolds (Mathematics)CongressesComplex manifoldsManifolds (Mathematics)Complex manifolds.514.34Shiota Masahiro1947-57121MiAaPQMiAaPQMiAaPQBOOK996466475103316Nash manifolds78534UNISA