Convex Integration Theory

Name: Convex Integration Theory
Brand: Springer Basel
SKU: 9783034898362
Price: 2286 CZK
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Solutions to the h-principle in geometry and topology

Autor: David Spring

Jazyk:

Vazba: Brožovaná

Vydavatel: Springer Basel

Dostupnost: Skladem u dodavatele

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2 286 Kč

1. Historical Remarks Convex Integration theory, first introduced by M. Gromov [17], is one of three...

Informace o knize

Autor

David Spring

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

2012

Stránek

213

EAN

9783034898362

ISBN

3034898363

Enbook ID

05262042

Vydavatel

Springer Basel

Hmotnost

355

Rozměry

155 x 235 x 13

Kompletní popis

1. Historical Remarks Convex Integration theory, first 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 classification problem for immersions of spheres in Euclidean space. These general methods are not linearly related in the sense that succes sive methods subsumed the previous methods. Each method has its own distinct foundation, based on an independent geometrical or analytical insight. Conse 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 Convex Integration theory is that it applies to solve closed relations in jet spaces, including certain general classes of underdetermined non-linear systems of par tial differential equations. As a case of interest, the Nash-Kuiper Cl-isometrie immersion theorem ean be reformulated and proved using Convex Integration theory (cf. Gromov [18]). No such results on closed relations in jet spaees can be proved by means of the other two methods.

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Convex Integration Theory

Solutions to the h-principle in geometry and topology

Informace o knize

Kompletní popis

Mohlo by vás zajímat

Zákaznicí kteří koupili tuto knihu koupili také