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Convex Integration Theory
David . Ed(S): Spring
€ 132.09
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Description for Convex Integration Theory
Hardback. Provides a comprehensive study of convex integration theory in immersion-theoretic topology. This book presents a record and exposition of the basic concepts and technical results of convex integration theory in higher order jet spaces, including the theory of iterated convex hull extensions and the theory of relative h-principles. Editor(s): Spring, David. Series: Monographs in Mathematics. Num Pages: 221 pages, 2 black & white illustrations, biography. BIC Classification: PBKL; PBM; PBP. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 235 x 155 x 14. Weight in Grams: 566.
§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. ... Read more
§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. ... Read more
Product Details
Format
Hardback
Publication date
1997
Publisher
Birkhauser Verlag AG Switzerland
Number of pages
221
Condition
New
Series
Monographs in Mathematics
Number of Pages
213
Place of Publication
Basel, Switzerland
ISBN
9783764358051
SKU
V9783764358051
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Convex Integration Theory
"Spring's book makes no attempt to include all topics from convex integration theory or to uncover all of the gems in Gromov's fundamental account, but it will nonetheless (or precisely for that reason) take its place as a standard reference for the theory next to Gromov's towering monograph and should prove indispensable for anyone wishing to learn about the theory ... Read more