Abstract
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.
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© 1998 Springer Basel AG
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Spring, D. (1998). Introduction. In: Convex Integration Theory. Monographs in Mathematics, vol 92. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8940-7_1
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DOI: https://doi.org/10.1007/978-3-0348-8940-7_1
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9836-2
Online ISBN: 978-3-0348-8940-7
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