English

Deficient and multiple points of maps into a manifold

Algebraic Topology 2018-10-24 v1 Dynamical Systems

Abstract

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

Keywords

Cite

@article{arxiv.1810.09960,
  title  = {Deficient and multiple points of maps into a manifold},
  author = {Daciberg L. Gonçalves and Thaís F. M. Monis and Stanisław Spież},
  journal= {arXiv preprint arXiv:1810.09960},
  year   = {2018}
}
R2 v1 2026-06-23T04:50:06.135Z