Deficient and multiple points of maps into a manifold

Daciberg L. Gon\c{c}alves; Stanis{\l}aw Spie\.z; Tha\'is F. M. Monis

arxiv: 1810.09960 · v1 · pith:LJU57EASnew · submitted 2018-10-23 · 🧮 math.AT · math.DS

Deficient and multiple points of maps into a manifold

Daciberg L. Gon\c{c}alves , Tha\'is F. M. Monis , Stanis{\l}aw Spie\.z This is my paper

classification 🧮 math.AT math.DS

keywords pointsdeficientmultiplemanifoldcasecomplementdensedensity

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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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Deficient and multiple points of maps into a manifold

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