HOMOTOPY CLASSIFICATION OF NANOPHRASES IN TURAEV’S THEORY OF WORDS
HOMOTOPY CLASSIFICATION OF NANOPHRASES IN TURAEV’S THEORY OF WORDS
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图拉耶夫词论中纳米短语的同伦分类
DOI：
10.1142/s0218216509007245
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发表时间：
2009
期刊：
影响因子：
5.9
通讯作者：
Tomonori Fukunaga
中科院分区：
文献类型：
--
作者：
Tomonori Fukunaga
本文的目的是给出长度为2的4个字母的纳米短语的同伦分类。为了做到这一点，我们构造了一些纳米相γ， T的不变量。本文定义的不变量γ是[5]中引入的纳米词的不变量γ的扩展。不变量T是纳米阶段的一种新的不变量。作为这些结果的推论，我们给出了最小交叉数≤2的曲面上的两分量点、有序、定向曲线的分类。
The purpose of this paper is to give the homotopy classification of nanophrases of length 2 with 4 letters. To do it we construct some new invariants of nanophrases γ, T . The invariant γ defined in this paper is an extension of the invariant γ for nanowords introduced in [5]. The invariant T is a new invariant of nanophrases. As a corollary of these results, we give the classification of two-components pointed, ordered, oriented curves on surfaces with minimum crossing number ≤ 2.