As we known, N. Sato defined semi-boundary links of two components in 1984, and gave the construction of special Seifert pairs. In this paper, we defined first semi-boundary and strong semi-boundary links of any numbe...As we known, N. Sato defined semi-boundary links of two components in 1984, and gave the construction of special Seifert pairs. In this paper, we defined first semi-boundary and strong semi-boundary links of any number components, and prove the invariance of semi-boundary link cobordism. For one dimensional、spherical semi-boundary links, a simple method of constructing Seifert surfaces is given, by which we obtain the equivalence of semi-boundary and strong semi-boundary links. We apply finally this similar method to boundary links.展开更多
基金Supported by National Natural Science Foundation of China(1120112610971050)+2 种基金The Basic Science and Technological Frontier Project of Henan(122300410414132300410432)The research program for scientific technology of Henan province(13A110540)
文摘As we known, N. Sato defined semi-boundary links of two components in 1984, and gave the construction of special Seifert pairs. In this paper, we defined first semi-boundary and strong semi-boundary links of any number components, and prove the invariance of semi-boundary link cobordism. For one dimensional、spherical semi-boundary links, a simple method of constructing Seifert surfaces is given, by which we obtain the equivalence of semi-boundary and strong semi-boundary links. We apply finally this similar method to boundary links.
