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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Finite covers of $ 3$-manifolds containing essential surfaces of Euler characteristic $ =0$

Author: Sadayoshi Kojima
Journal: Proc. Amer. Math. Soc. 101 (1987), 743-747
MSC: Primary 57N10; Secondary 57M10
MathSciNet review: 911044
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Abstract: We give a short proof and a slight generalization of a theorem of John Luecke, that a compact connected orientable irreducible $ 3$-manifold containing an essential torus is finitely covered by a torus bundle or manifolds with unbounded first Betti numbers.

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Additional Information

PII: S 0002-9939(1987)0911044-9
Keywords: $ 3$-manifold, essential surface, residual finiteness
Article copyright: © Copyright 1987 American Mathematical Society

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