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2-stratifolds with fundamental group Z
Topology and its Applications ( IF 0.6 ) Pub Date : 2021-01-08 , DOI: 10.1016/j.topol.2021.107590
J.C. Gómez-Larrañaga , F. González-Acuña , Wolfgang Heil

2-stratifolds are a generalization of 2-manifolds that occur as objects in applications such as in TDA. These spaces can be described by an associated bicoloured labelled graph. In previous papers we obtained a classification of 1-connected trivalent 2-stratifolds. In this paper we classify trivalent 2-stratifolds that have fundamental group Z. This classification implicitly gives an efficient algorithm that applies to a bicoloured labelled graph to decide whether the associated 2-stratifold has fundamental group Z.



中文翻译:

具有基本组的2个歧管 ž

2歧管是2歧管的泛化,在应用程序(例如TDA)中以对象的形式出现。这些空间可以通过关联的双色标记图来描述。在以前的论文中,我们获得了1个连接的三价2歧管的分类。在本文中,我们对具有基本基团的三价2-歧本进行分类ž。该分类隐式给出了一种有效的算法,该算法适用于双色标签图,以确定相关的2歧管是否具有基本组ž

更新日期:2021-01-13
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