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Convex Integration Theory: Solutions to the h-principle in geometry and topology (Monographs in Mathematics, 92) - Hardcover
Synopsis
§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...
From the Back Cover
This book provides a comprehensive study of convex integration theory in immersion-theoretic topology. Convex integration theory, developed originally by M. Gromov, provides general topological methods for solving the h-principle for a wide variety of problems in differential geometry and topology, with applications also to PDE theory and to optimal control theory. Though topological in nature, the theory is based on a precise analytical approximation result for...
About the Author
David Spring is a Professor of mathematics at the Glendon College in Toronto, Canada.
"About this title" may belong to another edition of this title.
- PublisherBirkhäuser
- Publication date1997
- ISBN 10 376435805X
- ISBN 13 9783764358051
- BindingHardcover
- LanguageEnglish
- Number of pages221
- EditorSpring David
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Convex integration theory. Solutions to the h-principle in geometry and topology.
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Convex Integration Theory - Solutions To The H-principle In Geometry And Topology (monographs In Mathematics)
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