On global singularities of Sobolev mappings |
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Authors: | Takeshi Isobe |
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Institution: | (1) Department of Mathematics, Graduate School of Science and Engineering, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo 152-8551, Japan |
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Abstract: | We define various invariants for Sobolev mappings defined between manifolds which are stable under perturbation with respect
to the strong Sobolev topology. We show that these invariants classify various types of ``global singularities" of Sobolev
maps. These invariants are used to give a simple characterization of the strong closure of the set of smooth maps in the Sobolev
space. |
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Keywords: | 46T10 46T30 55S53 58D15 |
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