Deficient and multiple points of maps into a manifold

2018/10/23 by Daciberg Lima Gonçalves, Gonçalves, Daciberg L., Thaís F. M. Monis +3
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Mathematics and Applications #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.1810.09960

Abstract

For a map f:X → 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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