Memoirs of the American Mathematical Society
Memoirs of the American Mathematical Society
The notion of homotopy principle is one of the key concepts in an elegant language developed by Gromov to deal with a host of questions in geometry and topology. For a certain differential geometric problem to satisfy the $h$-principle is equivalent to saying that a solution to the problem exists whenever certain topological obstructions vanish.
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The notion of homotopy principle is one of the key concepts in an elegant language developed by Gromov to deal with a host of questions in geometry and topology. For a certain differential geometric problem to satisfy the $h$-principle is equivalent to saying that a solution to the problem exists whenever certain topological obstructions vanish.