多值映射的可度量空间

IF 0.1 Q4 MATHEMATICS

Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2021-01-01 DOI:10.2478/aupcsm-2021-0006

M. Ślosarski

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引用次数: 0

摘要

摘要本文定义了一个多值映射的可度量空间。我们证明了在这个空间中定义的度量与多值映射的同伦密切相关。此外，我们还研究了该空间的性质，并给出了新度量的一些实际应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Metrizable space of multivalued maps

Abstract In this article we define a metrizable space of multivalued maps. We show that the metric defined in this space is closely related to the homotopy of multivalued maps. Moreover, we study properties of this space and give a few practical applications of the new metric.

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来源期刊

Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica MATHEMATICS-

自引率

11.10%

发文量

审稿时长

15 weeks