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arXiv · 1810.09960

Deficient and multiple points of maps into a manifold

Daciberg L. Gonçalves·Thaís F. M. Monis·Stanisław Spież
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Abstract

For a map $f:X \to M$ into a manifold $M$, we study the sets of deficient and multiple points of $f$. In case of the set of deficient points, we estimate its dimension. For multiple points, we study its density in $X$, and we also provide examples where its complement is dense.

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Daciberg L. Gonçalves, Thaís F. M. Monis, Stanisław Spież. 2018-10-23. Deficient and multiple points of maps into a manifold. https://arxiv.org/abs/1810.09960

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