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

Sadayoshi Kojima

doi:10.1090/S0002-9939-1987-0911044-9

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

Sadayoshi Kojima^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

16 Citations (Scopus)

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.

Original language	English
Pages (from-to)	743-747
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	101
Issue number	4
DOIs	https://doi.org/10.1090/S0002-9939-1987-0911044-9
Publication status	Published - 1987 Dec
Externally published	Yes

Keywords

3-manifold
Essential surface
Residual finiteness

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-1987-0911044-9

Cite this

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title = "Finite covers of 3-manifolds containing essential surfaces of euler characteristic = 0",

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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year = "1987",

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AU - Kojima, Sadayoshi

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KW - 3-manifold

KW - Essential surface

KW - Residual finiteness

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

Abstract

Keywords

ASJC Scopus subject areas

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