Ramified coverings of nonorientable surfaces by orientable surfaces with prescribed boundary projection
type: Item
instance of: scholarly article
title: Ramified coverings of nonorientable surfaces by orientable surfaces with prescribed boundary projection
zbMATH Open document ID: 0920.32026
DOI: 10.1007/BF02308766
author: G. G. Bil'chenko
author: M. F. Sadykov
author: I. R. Kayumov
author: Samyon R. Nasyrov
published in: Mathematical Notes
publication date: 1999-08-31T00:00:00Z
review text: Consider a compact surface \(N\), without boundary, together a collection \(\beta_{1}\),\dots, \(\beta_{v}\), of closed curves on it. The authors investigate the problem of finding conditions on the above loops in order to find a compact surface with boundary \({\overline M}=M \cup \partial(M)\) and a continuous map \(p:{\overline M} \to N\) so that \(p(\partial(M))=\beta_{1} \cup \cdots \cup \beta_{v}\). They proceed to find such a condition under the hypothesis that \(v=1\) and \(N\) is nonorientable.
Mathematics Subject Classification ID: 32J15
zbMATH DE Number: 1228280
zbMATH Keywords: nonorientable surfaces
zbMATH Keywords: ramified coverings
reviewed by: Rubén A. Hidalgo
MaRDI profile type: Publication
cites work: Using surfaces to solve equations in free groups
full work available at URL: https://doi.org/10.1007/bf02308766
OpenAlex ID: W1967284254
description: scientific article; zbMATH DE number 1228280