Given smooth manifolds Vn and Mm, an integer k > 1, and an immersion f : V [special characters omitted] M, we have constructed an obstruction for existence of a regular homotopy of f to an immersion f' : V [special characters omitted] M without k-fold self-intersection points. It takes values in certain twisted bordism group, and for ( k + 1)n + 2 < km turns out to be complete. As a byproduct, under certain dimensional restrictions, we also constructed a complete obstruction for eliminating by regular homotopy the points of common intersection of several immersions f 1 : V1 [special characters omitted] M,…,fk : Vk [special characters omitted] M.
|School Location:||United States -- Rhode Island|
|Source:||DAI-B 71/11, Dissertation Abstracts International|
|Keywords:||Haeflinger theorem, Immersions, Smooth manifolds|
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