Geodesic
Composites of open maps
Sbornik. Mathematics, Tome 193 (2002) no. 3, pp. 311-327 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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S. I. Bogataya; S. A. Bogatyi; H. Zieschang. Composites of open maps. Sbornik. Mathematics, Tome 193 (2002) no. 3, pp. 311-327. http://geodesic.mathdoc.fr/item/SM_2002_193_3_a0/

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