检索结果-南通市图书馆

INCOMPRESSIBLE PAIRWISE INCOMPRESSIBLE SURFACES IN LINK COMPLEMENTS

Acta Mathematica Scientia 2011年第3期31卷 1011-1019页

作者：韩友发 School of Mathematics Liaoning Normal University

The central subject of studying in this paper is incompressible pairwise incompressible surfaces in link complements. Let L be a non-split prime link and let F be an incompressible pairwise incompressible surface in S3 - L. We discuss the properties that the surface F intersects with 2-spheres in S3 - L. The intersection forms a topological graph consisting of a collection of circles and saddle-shaped discs. We introduce topological graphs and their moves （R-move and S2-move）, and define the characteristic number of the topological graph for F∩S2±. The characteristic number is unchanged under the moves. In fact, the number is exactly the Euler Characteristic number of the surface when a graph satisfies some conditions. By these ways, we characterize the properties of incompressible pairwise incompressible surfaces in alternating （or almost alternating） link complements. We prove that the genus of the surface equals zero if the component number of F∩S2＋（or F∩S2-） is less than five and the graph is simple for alternating or almost alternating links. Furthermore, one can prove that the genus of the surface is zero if #（F） ≤8.

关键词： alternating link almost alternating link incompressible pairwise incompressible surface standard position genus

来源：

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

Incompressible Surfaces in Almost Alternating Link Exteriors

引用

Chinese Quarterly Journal of Mathematics 2007年第4期22卷 621-626页

作者： HAN You-fa NIU Fang-ping ZHANG Fang School of Mathematics Liaoning Normal University Dalian 116029 China

In this paper, we discuss mainly the properties of incompressible pairwise incomprcssiblc surfaccs in ahnost altcrnating link complcmcnts. Lct L bc a almost link and lct F be an incompressible pairwise incompressible surface in S^3 - L. First, we give the properties that the surface F intersects with 2-spheres in S^3- L. The intersection consisting of a collection of circles and saddle-shaped discs is called a topological graph. One can compute the Euler Characteristic number of the surface by calculating the characteristic number of the graph. Next, we prove that if the graph is special simple, then the genus of the surface is zero.

关键词： ahnost alternating link incompressible pairwise incompressible surface standard position zenus

来源：

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

Delimitation of Countries,Regions and Cities Which the Tropic of Cancer Traverses and Its Development Strategies

引用

Meteorological and Environmental Research 2015年第7期6卷 28-30页

作者： Liang Daping Ecological Society of Guangdong Province

The central value 23°26′17″ of the Tropic of Cancer is used for delimiting the standard position of the Tropic of Cancer as well as countries, regions and cities which the Tropic of Cancer traverses. It is confirmed that the Tropic of Cancer runs through 19 countries and regions in the world, and it traverses Yunnan, Guangxi, Guangdong, Fujian （sea area） and Taiwan provinces in China. At the same time, regions which the Tropic of Cancer traverses are divided into three regions, namely the extensive Tropic of Cancer region, the Tropic of Cancer region and the core area of the Tropic of Cancer. The series of delimitation and division aims to explore ways of sustainable development under the restriction of resources and environment and build collaborative development areas of the Tropic of Cancer at all leaves, especially setting up the collaborative de- velopment zone of the Tropic of Cancer in China and international collaborative development circle of the Tropic of Cancer.

关键词： The Tropic o f Cancer standard position Delimitation Development strategies China

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

欢迎您,

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

在线全文

请选择保存的检索档案：

请选择收藏分类：

通借通还

欢迎您,

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

在线全文

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：