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Fundamentalnaya i Prikladnaya Matematika, 2005, Volume 11, Issue 4, Pages 173–183
(Mi fpm852)
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This article is cited in 1 scientific paper (total in 1 paper)
Degree-one maps of Seifert manifolds into the Poincaré homology sphere
A. A. Perfil'ev Chelyabinsk State University
Abstract:
This paper is devoted to the Legrand–Wang–Zieschang problem of minimal (in the sense of degree-one maps) Seifert manifolds. The main result is that the set of all possible map degrees from a Seifert manifold to a manifold with a finite fundamental group whose base is a sphere or a torus depends only on residues of parameters of exceptional fibers of the Seifert manifold. The minimality of some Seifert manifolds is proved by using this theorem.
Citation:
A. A. Perfil'ev, “Degree-one maps of Seifert manifolds into the Poincaré homology sphere”, Fundam. Prikl. Mat., 11:4 (2005), 173–183; J. Math. Sci., 144:5 (2007), 4484–4491
Linking options:
https://www.mathnet.ru/eng/fpm852 https://www.mathnet.ru/eng/fpm/v11/i4/p173
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