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This article is cited in 6 scientific papers (total in 6 papers)
Local topological properties of analytic mappings
A. N. Varchenko
Abstract:
In this paper one studies the local topological structure of analytic mappings. It is proved that the complement in the space of all germs of analytic mappings from $\mathbf C^n$ to $\mathbf C^q$ of the set of germs whose topological type is unchanged under alteration of large terms of the Taylor series has infinite codimension.
Received: 31.07.1972
Citation:
A. N. Varchenko, “Local topological properties of analytic mappings”, Izv. Akad. Nauk SSSR Ser. Mat., 37:4 (1973), 883–916; Math. USSR-Izv., 7:4 (1973), 883–917
Linking options:
https://www.mathnet.ru/eng/im2324https://doi.org/10.1070/IM1973v007n04ABEH001979 https://www.mathnet.ru/eng/im/v37/i4/p883
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Abstract page: | 287 | Russian version PDF: | 102 | English version PDF: | 7 | References: | 58 | First page: | 3 |
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