Published April 30, 2002
| Version v1
Journal article
Composites of open maps
Creators
- 1. Moscow State University of Design and Technology, Moscow (Russian Federation)
- 2. M.V. Lomonosov Moscow State University, Moscow (Russian Federation)
- 3. Ruhr-University, Bochum (Germany)
Description
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
Availability note (English)
Available from http://dx.doi.org/10.1070/SM2002v193n03ABEH000632Additional details
Identifiers
Publishing Information
- Journal Title
- Sbornik. Mathematics
- Journal Volume
- 193
- Journal Issue
- 3
- Journal Page Range
- p. 311-327
- ISSN
- 1064-5616
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 40076208
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- MAPS; MULTIPLICITY; SURFACES