A surgery representation of 3-dimensional homology spheres

Qing Zhou

A surgery representation of 3-dimensional homology spheres

Qing Zhou^*

^*此作品的通讯作者

数学科学学院

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

It is proved that for any 3-dimensional homology sphere M, there is a sequence of homology spheres M₀, M₁, ⋯ , M_s such that M₀ = S³, M_s = M and each M_i is a result of ±1 surgery of M_i-1 along a knot.

源语言	英语
页（从-至）	435-438
页数	4
期刊	Chinese Annals of Mathematics. Series B
卷	18
期	4
出版状态	已出版 - 1997

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链接到 Scopus 的出版物

引用此

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title = "A surgery representation of 3-dimensional homology spheres",

abstract = "It is proved that for any 3-dimensional homology sphere M, there is a sequence of homology spheres M0, M1, ⋯ , Ms such that M0 = S3, Ms = M and each Mi is a result of ±1 surgery of Mi-1 along a knot.",

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AB - It is proved that for any 3-dimensional homology sphere M, there is a sequence of homology spheres M0, M1, ⋯ , Ms such that M0 = S3, Ms = M and each Mi is a result of ±1 surgery of Mi-1 along a knot.

KW - 3-dimensional homology sphere

KW - Knot

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JO - Chinese Annals of Mathematics. Series B

JF - Chinese Annals of Mathematics. Series B

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