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Sbornik: Mathematics, 2002, Volume 193, Issue 3, Pages 311–327
DOI: https://doi.org/10.1070/SM2002v193n03ABEH000632 (Mi sm632) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Composites of open maps

S. I. Bogatayaa, S. A. Bogatyib, H. Zieschangc

a Moscow State University of Design and Technology
b M. V. Lomonosov Moscow State University
c Ruhr-Universität Bochum
English version PDF (246 kB) Citations (3)
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DOI: https://doi.org/10.1070/SM2002v193n03ABEH000632
Abstract: A 4-fold covering of a surface of genus 2 by a surface of genus 5 is constructed that cannot be represented as a composite of two non-trivial open maps. This demonstrates the incompleteness of Baildon's obstruction. Various results on the decomposability of a regular covering into a composite of (regular) coverings of various multiplicities arranged in various orders are established. A new obstruction to the decomposability of branched coverings is proposed, the system of branch data at the branch points.
Received: 14.02.2001
Russian version:
Matematicheskii Sbornik, 2002, Volume 193, Number 3, Pages 3–20
DOI: https://doi.org/10.4213/sm632
Bibliographic databases:
UDC: 515.162.2
MSC: Primary 57M10, 57M12; Secondary 54C10
Language: English
Original paper language: Russian
Citation: S. I. Bogataya, S. A. Bogatyi, H. Zieschang, “Composites of open maps”, Mat. Sb., 193:3 (2002), 3–20; Sb. Math., 193:3 (2002), 311–327
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
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