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Spatial graphs, tangles and plane trees
St. Petersburg Mathematical Journal ( IF 0.8 ) Pub Date : 2020-10-27 , DOI: 10.1090/spmj/1633
V. M. Nezhinskiĭ

Abstract:All (finite connected) spatial graphs are supplied with an additional structure -- the replenished skeleton and its disk framing, -- in such a way that the problem of isotopic classification of spatial graphs endowed with this structure admits reduction to two problems: the (classical) problem of isotopic classification of tangles and the (close to classical) problem of isotopic classification of plane trees equipped with an additional structure, specifically, a set of hanging vertices and a fixed vertex (the root of the tree) in this set.


中文翻译:

空间图,缠结和平面树

摘要:所有(有限连通)空间图都具有其他结构-补充骨架及其磁盘框架-以这种结构赋予的空间图同位素分类问题可以简化为两个问题:缠结的同位素分类的(经典)问题和配备了附加结构的平面树的同位素分类的(接近经典)问题,特别是在此处具有一组垂悬的顶点和一个固定的顶点(树的根)组。
更新日期:2020-10-30
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