Minimal fixed point set of fiber-preserving maps on T-bundles over S~1

Weslem L. Silva

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Minimal fixed point set of fiber-preserving maps on T-bundles over S~1

机译：S〜1上T束上保纤图的最小定点集

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摘要

The main purpose of this work is to study the minimal fixed point set of fiber-preserving maps for spaces which are fiber bundles over the circle and the fiber is the torus. Using the one-parameter fixed point theory it is possible to describe these sets in terms of the fundamental group and the induced homomorphism.

机译：这项工作的主要目的是研究空间的最小保留点集，该空间是纤维在圆上的束，并且纤维是圆环。使用单参数不动点理论，可以用基群和诱导同态来描述这些集合。

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来源
《Topology and its applications》 |2014年第15期|240-263|共24页
作者
Weslem L. Silva;
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作者单位

Departamento de Matematica, UFSCar, Sao Carlos, SP, Brazil;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Fiber bundle; Fiberwise homotopy; Minimal fixed point set; One-parameter fixed point theory;

机译：纤维束;纤维同态最小定点集;一参数定点理论;

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3. Fixed points theorems for monotone set-valued maps in pseudo-ordered sets [J] . Abdelkader Stouti Acta Mathematica Nyíregyháziensis . 2015,第2期

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6. Fixed versus mixed RSA: Explaining visual representations by fixed and mixed feature sets from shallow and deep computational models [O] . Seyed-Mahdi Khaligh-Razavi, Linda Henriksson, Kendrick Kay, -1

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Minimal fixed point set of fiber-preserving maps on T-bundles over S~1

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