The Nielsen number on aspherical figure-eight type polyhedra

Seung Won Kim

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The Nielsen number on aspherical figure-eight type polyhedra

机译：非球面数字八型多面体上的尼尔森数

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摘要

Let X be a compact polyhedron that is homotopy equivalent to the figure-eight. This is a survey paper for the WYK algorithm which provides computations for the Nielsen number of self-maps of X. The WYK algorithm consists of three parts and each part was introduced separately by Wagner, Yi and Kim, and Kim. In this paper, we present the whole algorithm so that people can more easily use the algorithm.

机译：令X为紧凑的多面体，其同态性等同于数字八。这是WYK算法的调查文件，其中提供了X的Nielsen数自映射的计算。WYK算法包括三个部分，每个部分由Wagner，Yi和Kim和Kim分别介绍。在本文中，我们介绍了整个算法，以便人们可以更轻松地使用该算法。

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来源
《Topology and its applications》 |2015年第15期|150-158|共9页
作者
Seung Won Kim;
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作者单位

Department of Mathematics, Kyungsung University, Busan 608-736, Republic of Korea;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Fixed point; Nielsen number; WYK algorithm;

机译：固定点;尼尔森数;WYK算法;

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专利

1. Nielsen numbers of maps of aspherical figure-eight type polyhedra [J] . Yi Peter, Kim Seung Won Forum mathematicum . 2015,第3期

机译：非球面图-八型多面体的图的尼尔森数
2. The WYK algorithm for maps of aspherical figure-eight type finite polyhedra [J] . Kim S.W. Journal of pure and applied algebra . 2012,第7期

机译：非球面图八型有限多面体的WYK算法
3. Addition formulae for Nielsen numbers and Nielsen type numbers of fibre preserving maps defined locally [J] . Li Changbok Topology and its applications . 2020,第May15期

机译：尼尔森数量的附加公式和Nielsen型在本地定义的光纤保留映射数
4. EXPERIMENTAL ANALYSIS OF A NIELSEN-TYPE BRIDGE MODEL [C] . Attila Laszlo Joo, Laszlo Dunai, Miklos Kallo, DANUBIA-ADRIA Symposium on Experimental Methods in Solid Mechanics,Extended Abstracts . 2004

机译：尼尔森型桥梁模型的实验分析
5. Modeling financial swaps and geophysical data using the Barndorff-Nielsen and Shephard model. [D] . Habtemicael, Semere Kidane. 2015

机译：使用Barndorff-Nielsen和Shephard模型对金融掉期和地球物理数据进行建模。
6. A Few-Polyhedra Mutant and Wild-Type Nucleopolyhedrovirus Remain as a Stable Polymorphism during Serial Coinfection in Trichoplusia ni [O] . James C. Bull, H. C. J. Godfray, David R. OReilly 2003

机译：少数多突变体和野生型核多角体病毒在毛滴虫连续共感染期间仍保持稳定的多态性。
7. The WYK algorithm for maps of aspherical figure-eight type finite polyhedra [O] . Kim Seung Won 2012

机译：非球面图八型有限多面体的WYK算法

The Nielsen number on aspherical figure-eight type polyhedra

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