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论文类型：期刊论文

发表时间：2014-06-01

发表刊物：TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

收录刊物：SCIE

卷号：366

期号：6

页面范围：3075-3093

ISSN号：0002-9947

关键字：Framed link; simplicial group; link group; naive cabling; loop space

摘要：In this paper, we investigate the simplicial groups obtained from the link groups of naive cablings on any given framed link. Our main result states that the resulting simplicial groups have the homotopy type of the loop space of a wedge of 3-spheres. This gives simplicial group models for some loop spaces using link groups.