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Dissertation/Thesis Abstract

Multiple points of immersions
by Salikhov, Konstantin, Ph.D., Brown University, 2010, 26; 3430214
Abstract (Summary)

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.

Indexing (document details)
Advisor: Goodwillie, Thomas
School: Brown University
School Location: United States -- Rhode Island
Source: DAI-B 71/11, Dissertation Abstracts International
Subjects: Mathematics
Keywords: Haeflinger theorem, Immersions, Smooth manifolds
Publication Number: 3430214
ISBN: 978-1-124-30147-1
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