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arXiv:0704.0115 [math.GT]AbstractReferencesReviewsResources

Smooth maps with singularities of bounded K-codimensions

Yoshifumi Ando

Published 2007-04-02, updated 2007-04-09Version 2

We will prove the relative homotopy principle for smooth maps with singularities of a given {\cal K}-invariant class with a mild condition. We next study a filtration of the group of homotopy self-equivalences of a given manifold P by considering singularities of non-negative {\cal K}-codimensions.

Comments: Typographic errors are revised and several expressions are modified to better ones
Categories: math.GT
Subjects: 58K30, 57R45
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