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Overview"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 This book, in which almost all results are very recent or unpublished, is an account of the theory of Nash manifolds, whose properties are clearer and more regular than those of differentiable or PL manifolds.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." Full Product DetailsAuthor: Masahiro ShiotaPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: 1987 ed. Volume: 1269 Dimensions: Width: 17.00cm , Height: 1.20cm , Length: 25.00cm Weight: 0.361kg ISBN: 9783540181026ISBN 10: 3540181024 Pages: 228 Publication Date: 28 July 1987 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsPreliminaries.- Approximation theorem.- Affine Cr nash manifolds.- Nonaffine C? nash manifolds.- C0 nash manifolds.- Affine C? nash manifolds.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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