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 This book, in which almost all results are very recent or unpublished, i...
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| Autor principal: | |
|---|---|
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Col·lecció: | Lecture notes in mathematics
1269 |
| Matèries: | |
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Nash manifolds, Masahiro Shiota, 1987, Berlin, Springer-Verlag, 1 volume (VI-223 pages), Lecture notes in mathematics, 0-387-18102-4 • Nash Manifolds, Texte imprimé, 9783662203781 |
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| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 084 | |a 14G30. 1980 | ||
| 084 | |a 58A07. 1980 | ||
| 100 | 1 | |a Shiota, Masahiro, |d 1947- | |
| 245 | 1 | 0 | |a Nash Manifolds |c Masahiro Shiota. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1269 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Preliminaries -- Approximation theorem -- Affine Cr nash manifolds -- Nonaffine C? nash manifolds -- C0 nash manifolds -- Affine C? nash manifolds. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 This book, in which almost all results are very recent or unpublished, is an account of the theory of Nash manifolds, whose properties are clearer and more regular than those of differentiable or PL manifolds.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. | ||
| 650 | |a Variétés de Nash | ||
| 776 | 0 | |0 020333536 |t Nash manifolds |f Masahiro Shiota |d 1987 |c Berlin |n Springer-Verlag |p 1 volume (VI-223 pages) |s Lecture notes in mathematics |z 0-387-18102-4 | |
| 776 | 0 | |t Nash Manifolds |b Texte imprimé |z 9783662203781 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0078571 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-T6HQMQ2H-1 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750635134 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0078571 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753991381 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0078571 |z Accès INSA CVL | |
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