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^*

^*この研究の対応する著者

研究成果: Article › 査読

16 被引用数 (Scopus)

抄録

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.

本文言語	English
ページ（範囲）	743-747
ページ数	5
ジャーナル	Proceedings of the American Mathematical Society
巻	101
号	4
DOI	https://doi.org/10.1090/S0002-9939-1987-0911044-9
出版ステータス	Published - 1987 12
外部発表	はい

ASJC Scopus subject areas

数学 (全般)
応用数学

文献へのアクセス

10.1090/S0002-9939-1987-0911044-9

他のファイルとリンク

引用スタイル

@article{0ddbf7a9ce9542308c8e1a5167217447,

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.",

keywords = "3-manifold, Essential surface, Residual finiteness",

author = "Sadayoshi Kojima",

year = "1987",

month = dec,

doi = "10.1090/S0002-9939-1987-0911044-9",

language = "English",

volume = "101",

pages = "743--747",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "4",

}

TY - JOUR

T1 - Finite covers of 3-manifolds containing essential surfaces of euler characteristic = 0

AU - Kojima, Sadayoshi

PY - 1987/12

Y1 - 1987/12

N2 - 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.

AB - 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.

KW - 3-manifold

KW - Essential surface

KW - Residual finiteness

UR - http://www.scopus.com/inward/record.url?scp=84968490669&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84968490669&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-1987-0911044-9

DO - 10.1090/S0002-9939-1987-0911044-9

M3 - Article

AN - SCOPUS:84968490669

VL - 101

SP - 743

EP - 747

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 4

ER -

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

抄録

ASJC Scopus subject areas

文献へのアクセス

他のファイルとリンク

フィンガープリント

引用スタイル