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GENERALIZED BEBUTOV SYSTEMS: A DYNAMICAL INTERPRETATION OF SHAPE

机译:广义的BEBUTOV系统:形状的动态解释

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摘要

We define a semidynamical system-inspired by some classical dynamical systems studied by Bebutov in function spaces--in the space of approximative maps A(X,Y) between two metric compacta, with a suitable metric. Shape and strong shape morphisms are characterized as invariant subsets of this system. We study their structure and asymptotic properties and use the obtained results to give dynamical characterizations of basic notions in shape theory ,like trivial shape, shape domination by polyhedra and internal FANRs
机译:我们定义了一个半动力学系统,这个系统受到了Bebutov在函数空间中研究的一些经典动力学系统的启发-在两个度量紧缩之间的近似映射A(X,Y)的空间中,具有合适的度量。形状和强形态是系统的不变子集。我们研究了它们的结构和渐近性质,并使用所得结果对形状理论中的基本概念进行了动力学表征,例如琐碎的形状,多面体的形状控制和内部FANRs

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