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A complex map with complex topology

Author: Michal\ Kwiecinski
Journal: Proc. Amer. Math. Soc. 127 (1999), 397-399
MSC (1991): Primary 14E40; Secondary 32S15
MathSciNet review: 1610729
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Abstract: We construct a simple example of a complex algebraic map, which (even locally) has an uncountable number of local topological types at points of the source space.

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  • 1. V. I. Arnol′d, Geometrical methods in the theory of ordinary differential equations, 2nd ed., Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 250, Springer-Verlag, New York, 1988. Translated from the Russian by Joseph Szücs [József M. Szűcs]. MR 947141
  • 2. Heisuke Hironaka, Stratification and flatness, Real and complex singularities (Proc. Ninth Nordic Summer School/NAVF Sympos. Math., Oslo, 1976) Sijthoff and Noordhoff, Alphen aan den Rijn, 1977, pp. 199–265. MR 0499286
  • 3. E.R. van Kampen, The topological transformations of a simple closed curve into itself, American Journal of Mathematics 57 (1935), 142-152.
  • 4. Isao Nakai, On topological types of polynomial mappings, Topology 23 (1984), no. 1, 45–66. MR 721451,
  • 5. Jacob Palis Jr. and Welington de Melo, Geometric theory of dynamical systems, Springer-Verlag, New York-Berlin, 1982. An introduction; Translated from the Portuguese by A. K. Manning. MR 669541
  • 6. René Thom, La stabilité topologique des applications polynomiales, Enseign. Math. (2) 8 (1962), 24–33 (French). MR 148079

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Additional Information

Michal\ Kwiecinski
Affiliation: Department of Mathematics, Tokyo Metropolitan University, Minami - Ohsawa 1-1, Hachioji-shi, Tokyo 192-03, Japan; On leave from: Uniwersytet Jagielloński, Instytut Matematyki, ul. Reymonta 4, 30-059 Kraków, Poland

Received by editor(s): June 3, 1997
Additional Notes: The author’s research was supported by a postdoctoral fellowship of the Japan Society for the Promotion of Science and Monbusho grant (number P96204)
Communicated by: Leslie D. Saper
Article copyright: © Copyright 1999 American Mathematical Society