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Convex Integration Theory: Solutions to the h-principle in geometry and topology
David Spring
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Description for Convex Integration Theory: Solutions to the h-principle in geometry and topology
Paperback. This is a comprehensive study of convex integration theory in immersion-theoretic topology, providing methods for solving the h-principle for a variety of problems in differential geometry and topology, with application to PDE theory and optimal control theory. Series: Modern Birkhauser Classics. Num Pages: 213 pages, biography. BIC Classification: PBKL. Category: (P) Professional & Vocational. Dimension: 234 x 159 x 13. Weight in Grams: 330.
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. ... Read more
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. ... Read more
Product Details
Publisher
Springer Basel
Format
Paperback
Publication date
2010
Series
Modern Birkhauser Classics
Condition
New
Weight
329g
Number of Pages
213
Place of Publication
, Switzerland
ISBN
9783034800594
SKU
V9783034800594
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About David Spring
David Spring is a Professor of mathematics at the Glendon College in Toronto, Canada.
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