The reductivity of spherical curves

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• 作者：Ayaka Shimizu ^{shimizu1984@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：57M25
• 刊名：Topology and its Applications
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：196
• 期：part_PB
• 页码：860-867
• 全文大小：391 K

文摘

We show that we can obtain a reducible spherical curve from any non-trivial spherical curve by four or less inverse-half-twisted splices, i.e., the reductivity, which represents how reduced a spherical curve is, is four or less. We also discuss unavoidable sets of tangles for spherical curves.