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A complex map with complex topology
Author(s):
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.
References:
- 1.
- V.I. Arnold, Geometrical methods in the theory of ordinary differential equations, Springer Grundlehren der mathematischen Wissenschaften 250, 1988. MR 89h:58049
- 2.
- H. Hironaka, Stratification and Flatness, in Real and Complex Singularities, Proc. Oslo 1976, ed. Per Holm, Stijthof and Noordhof 1997, 199-265. MR 58:17187
- 3.
- E.R. van Kampen, The topological transformations of a simple closed curve into itself, American Journal of Mathematics 57 (1935), 142-152.
- 4.
- I. Nakai, On topological types of polynomial mappings, Topology 23 (1984), 45-66. MR 85g:58076
- 5.
- J. Palis, W. de Melo, Geometric theory of dynamical systems, Springer, New York 1982. MR 84a:58004
- 6.
- R. Thom, La stabilité topologique des applications polynomiales, Enseign. Math. 8 (1962), 24-33. MR 26:5588
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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 -
{\it On leave from}: Uniwersytet Jagiellonski, Instytut Matematyki, ul. Reymonta 4, 30-059 Kraków, Poland
Email:
kwiecins@im.uj.edu.pl
DOI:
10.1090/S0002-9939-99-04929-1
PII:
S 0002-9939(99)04929-1
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
Copyright of article:
Copyright
1999,
American Mathematical Society
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