Isaac Scientific Publishing

Advances in Analysis

On Mappings of Constant Multiplicity

Download PDF (408.1 KB) PP. 105 - 107 Pub. Date: March 9, 2017

DOI: 10.22606/aan.2017.22004

Author(s)

  • Yu.B. Zelinskii*
    Institute of Mathematics National Academy of Sciences of Ukraine
  • H.K.Dakhil

    Kyiv National University

Abstract

The main question considered in this paper concerns constructing the mapping of constant odd multiplicity in and onto an open ball of Euclidean space, provided that on the boundary of the ball the mapping is a homeomorphism.

Keywords

Euclidean space, open ball, continuous mapping, homeomorphism

References

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[2] Yu. Zelinskii, “Continuous mappings between domains of manifolds”, Bull. Soc.Sci. Lett. Lódz Sér. Rech. Déform., 60, 2010, no. 2, p. 11–14.

[3] J.Mioduszewski. “Funkcje ciagle o stalej krotnosci skonczonej na odcinku i prostej”, Prace matematyczne. 5, (1961), p. 79–93.

[4] E. H. Spanier, “Algebraic Topology”, McGraw-Hill, New York (1966).

[5] Yu. B. Zelinskii, “Certain problems of A. Kosinski”, Ukrainian Math. J., 27, no. 4, (1975), p. 415–419.

[6] Yu. B. Zelinskii, “On multiplicity of continuous mappings of domains” Ukrainian Math.J., 57, no. 4, (2005), p. 666–670.

[7] A. V. Chernavskii, “Finite-to-one open mappings of manifolds”, Amer. Math. Soc., Translat., II. Ser. 100, 253–267 (1972).

[8] Yu. B. Zelinskii, “On a mapping of a projective space into a sphere” Ukrainian Math.J. 62, no. 7, (2010), p. 1090–1097.