Multiple points of immersions

Details Multiple points of immersions Multiple points of immersions

2002-03-13

arxiv.org/abs/math/0203118v3

Mathematics

Geometric Topology

Minor corrections

Scientific paper

Given smooth manifolds $V^n$ and $M^m$, an integer $k$, and an immersion
$f:V\looparrowright M$, we have constructed an obstruction for existence of
regular homotopy of $f$ to an immersion $f':V\looparrowright M$ without
$k$-fold points. This obstruction takes values in certain framed bordism group,
and for $(k+1)(n+1)\leq km$ turns out to be complete.

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