Konstantin Salikhov

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math.GT2002

Multiple points of immersions

Konstantin Salikhov

Given smooth manifolds $V^{n}$ and $M^{m}$ , an integer $k$ , and an immersion $f : V ↬ M$ , we have constructed an obstruction for existence of regular homotopy of $f$ to an i…

math.GT2000

Bordism classes of the multiple points manifolds

Konstantin Salikhov

Let $f : V^{n} ↬ M^{m}$ be a smooth generic immersion. Then the set of points, that have at least $k$ preimages is an image of a (non-generic) immersion. If the manifolds $V…