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Funktsional'nyi Analiz i ego Prilozheniya, 2001, Volume 35, Issue 1, Pages 62–73
DOI: https://doi.org/10.4213/faa232 (Mi faa232) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On the Continuability of Multivalued Analytic Functions to an Analytic Subset

A. G. Khovanskii

Institute of Systems Analysis, Russian Academy of Sciences
Full-text PDF (171 kB) Citations (5)
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DOI: https://doi.org/10.4213/faa232
Abstract: In the paper, it is shown that a germ of a many-valued analytic function can be continued analytically along the branching set at least until the topology of this set is changed. This result is needed to construct the many-dimensional topological version of Galois theory. The proof heavily uses Whitney's stratification.
Received: 24.05.2000
English version:
Functional Analysis and Its Applications, 2001, Volume 35, Issue 1, Pages 52–60
DOI: https://doi.org/10.1023/A:1004124600978
Bibliographic databases:
Document Type: Article
UDC: 517.55
Language: Russian
Citation: A. G. Khovanskii, “On the Continuability of Multivalued Analytic Functions to an Analytic Subset”, Funktsional. Anal. i Prilozhen., 35:1 (2001), 62–73; Funct. Anal. Appl., 35:1 (2001), 52–60
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
     
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