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Convex Integration Theory: Solutions to the h-principle in geometry and topology - Couverture souple
Synopsis
§1. Historical Remarks Convex Integration theory, ?rst introduced by M. Gromov [17], is one of three general methods in immersion-theoretic topology for solving a broad range of problems in geometry and topology. The other methods are: (i) Removal of Singularities, introduced by M. Gromov and Y. Eliashberg [8]; (ii) the covering homotopy method which, following M. Gromov’s thesis [16], is also referred to as the method of sheaves. The covering homotopy method is due originally to S. Smale [36] who proved a crucial covering homotopy result in order to solve the classi?cation problem for immersions of spheres in Euclidean space. These general methods are not linearly related in the sense that succ- sive methods subsumed the previous methods. Each method has its own distinct foundation, based on an independent geometrical or analytical insight. Con- quently, each method has a range of applications to problems in topology that are best suited to its particular insight. For example, a distinguishing feature of ConvexIntegrationtheoryisthatitappliestosolveclosed relationsinjetspaces, including certain general classes of underdetermined non-linear systems of par- 1 tial di?erential equations. As a case of interest, the Nash-Kuiper C -isometric immersion theorem can be reformulated and proved using Convex Integration theory (cf. Gromov [18]). No such results on closed relations in jet spaces can be proved by means of the other two methods. On the other hand, many classical results in immersion-theoretic topology, such as the classi?cation of immersions, are provable by all three methods.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
À propos de l?auteur
David Spring is a Professor of mathematics at the Glendon College in Toronto, Canada.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
- ÉditeurBirkhäuser
- Date d'édition2010
- ISBN 10 3034800592
- ISBN 13 9783034800594
- ReliureBroché
- Langueanglais
- Nombre de pages224
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Convex Integration Theory. Solutions to the h-principle in geometry and topology.
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Basel, Birkhäuser., 1998
ISBN 10 : 3034800592
ISBN 13 : 9783034800594
Ancien ou d'occasion
Couverture souple
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VIII, 212 p. Softcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Reprint of the 1998 Edition. Cover partially bumped. Stamped. Modern Birkhäuser Classics. Sprache: Englisch. N° de réf. du vendeur 4775JB
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Convex Integration Theory: Solutions to the H-Principle in Geometry and Topology (Modern Birkhäuser Classics)
Edité par
Birkhäuser, 2010
ISBN 10 : 3034800592
ISBN 13 : 9783034800594
Ancien ou d'occasion
Couverture souple
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Etat : Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,450grams, ISBN:9783034800594. N° de réf. du vendeur 5832913
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Convex Integration Theory
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Comprehensive and systematic monograph on convex integration theoryIndispensable to all interested in differential topology, symplectic topology and optimal control theoryAddresses as well as researchersDavid Spring is a Professor of mathematics at the . N° de réf. du vendeur 4318097
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Convex Integration Theory
Edité par
Basel Springer Basel Springer Dez 2010, 2010
ISBN 10 : 3034800592
ISBN 13 : 9783034800594
Neuf
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Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -1. Historical Remarks Convex Integration theory, rst introduced by M. Gromov [17], is one of three general methods in immersion-theoretic topology for solving a broad range of problems in geometry and topology. The other methods are: (i) Removal of Singularities, introduced by M. Gromov and Y. Eliashberg [8]; (ii) the covering homotopy method which, following M. Gromov's thesis [16], is also referred to as the method of sheaves. The covering homotopy method is due originally to S. Smale [36] who proved a crucial covering homotopy result in order to solve the classi cation problem for immersions of spheres in Euclidean space. These general methods are not linearly related in the sense that succ- sive methods subsumed the previous methods. Each method has its own distinct foundation, based on an independent geometrical or analytical insight. Con- quently, each method has a range of applications to problems in topology that are best suited to its particular insight. For example, a distinguishing feature of ConvexIntegrationtheoryisthatitappliestosolveclosed relationsinjetspaces, including certain general classes of underdetermined non-linear systems of par- 1 tial di erential equations. As a case of interest, the Nash-Kuiper C -isometric immersion theorem can be reformulated and proved using Convex Integration theory (cf. Gromov [18]). No such results on closed relations in jet spaces can be proved by means of the other two methods. On the other hand, many classical results in immersion-theoretic topology, such as the classi cation of immersions, are provable by all three methods. 213 pp. Englisch. N° de réf. du vendeur 9783034800594
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Convex Integration Theory: Solutions to the h-principle in geometry and topology (Modern Birkhäuser Classics)
Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
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Convex Integration Theory : Solutions to the h-principle in geometry and topology
Edité par
Springer, Basel, Springer Basel, Birkhäuser, 2010
ISBN 10 : 3034800592
ISBN 13 : 9783034800594
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 1. Historical Remarks Convex Integration theory, rst introduced by M. Gromov [17], is one of three general methods in immersion-theoretic topology for solving a broad range of problems in geometry and topology. The other methods are: (i) Removal of Singularities, introduced by M. Gromov and Y. Eliashberg [8]; (ii) the covering homotopy method which, following M. Gromov's thesis [16], is also referred to as the method of sheaves. The covering homotopy method is due originally to S. Smale [36] who proved a crucial covering homotopy result in order to solve the classi cation problem for immersions of spheres in Euclidean space. These general methods are not linearly related in the sense that succ- sive methods subsumed the previous methods. Each method has its own distinct foundation, based on an independent geometrical or analytical insight. Con- quently, each method has a range of applications to problems in topology that are best suited to its particular insight. For example, a distinguishing feature of ConvexIntegrationtheoryisthatitappliestosolveclosed relationsinjetspaces, including certain general classes of underdetermined non-linear systems of par- 1 tial di erential equations. As a case of interest, the Nash-Kuiper C -isometric immersion theorem can be reformulated and proved using Convex Integration theory (cf. Gromov [18]). No such results on closed relations in jet spaces can be proved by means of the other two methods. On the other hand, many classical results in immersion-theoretic topology, such as the classi cation of immersions, are provable by all three methods. N° de réf. du vendeur 9783034800594
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Convex Integration Theory: Solutions to the h-Principle in Geometry and Topology (Modern Birkhï¿œuser Classics)
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Convex Integration Theory
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Convex Integration Theory
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Convex Integration Theory
impression à la demandeVendeur : Biblios, Frankfurt am main, HESSE, Allemagne
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Etat : New. PRINT ON DEMAND pp. 224. N° de réf. du vendeur 182417941
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