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Mathematics of the USSR-Izvestiya, 1973, Volume 7, Issue 4, Pages 883–917
DOI: https://doi.org/10.1070/IM1973v007n04ABEH001979
(Mi im2324)
 

This article is cited in 6 scientific papers (total in 6 papers)

Local topological properties of analytic mappings

A. N. Varchenko
References:
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
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1973, Volume 37, Issue 4, Pages 883–916
Bibliographic databases:
UDC: 513.6
MSC: 32B10, 32H99, 14B10
Language: English
Original paper language: Russian
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
Citation in format AMSBIB
\Bibitem{Var73}
\by A.~N.~Varchenko
\paper Local topological properties of analytic mappings
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1973
\vol 37
\issue 4
\pages 883--916
\mathnet{http://mi.mathnet.ru/im2324}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=331421}
\zmath{https://zbmath.org/?q=an:0285.32006}
\transl
\jour Math. USSR-Izv.
\yr 1973
\vol 7
\issue 4
\pages 883--917
\crossref{https://doi.org/10.1070/IM1973v007n04ABEH001979}
Linking options:
  • https://www.mathnet.ru/eng/im2324
  • https://doi.org/10.1070/IM1973v007n04ABEH001979
  • https://www.mathnet.ru/eng/im/v37/i4/p883
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:287
    Russian version PDF:102
    English version PDF:7
    References:58
    First page:3
     
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