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Nash Manifolds / by Masahiro Shiota
(Lecture Notes in Mathematics. ISSN:16179692 ; 1269)
版 | 1st ed. 1987. |
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出版者 | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
出版年 | 1987 |
大きさ | VIII, 228 p : online resource |
著者標目 | *Shiota, Masahiro author SpringerLink (Online service) |
件 名 | LCSH:Manifolds (Mathematics) FREE:Manifolds and Cell Complexes |
一般注記 | 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 This book, in which almost all results are very recent or unpublished, is an account of the theory of Nash manifolds, whose properties are clearer and more regular than those of differentiable or PL manifolds.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 HTTP:URL=https://doi.org/10.1007/BFb0078571 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783540477631 |
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EB00209879 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA613-613.8 DC23:514.34 |
書誌ID | 4000109439 |
ISBN | 9783540477631 |
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