Lectures on topology of words

Lectures on topology of words
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单词拓扑讲座

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发表时间：
2006
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通讯作者：
V. Turaev
V. Turaev
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文献类型：
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作者：
V. Turaev

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摘要。我们讨论了作者在[图2]-[图4]中介绍的一种词汇拓扑方法。任意字母上的单词由高斯词近似，然后研究受结图上Reidemeister移动启发的自然修改。这就引出了词的同伦概念。引入了几个词的同伦不变量，给出了长度为5的词的同伦分类。
Abstract.We discuss a topological approach to words introduced by the author in [Tu2]–[Tu4]. Words on an arbitrary alphabet are approximated by Gauss words and then studied up to natural modifications inspired by the Reidemeister moves on knot diagrams. This leads us to a notion of homotopy for words. We introduce several homotopy invariants of words and give a homotopy classification of words of length five.