Metrizable space of multivalued maps

Mirosław Ślosarski

doi:10.2478/aupcsm-2021-0006

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Metrizable space of multivalued maps

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

Volume 20 (2021): Issue 1 (January 2021)

By: Mirosław Ślosarski

Open Access

|Jan 2022

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.

References

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DOI: https://doi.org/10.2478/aupcsm-2021-0006 | Journal eISSN: 2300-133X | Journal ISSN: 2081-545X

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Language: English

Page range: 77 - 93

Submitted on: Mar 13, 2021

Accepted on: Aug 4, 2021

Published on: Jan 21, 2022

Published by: Pedagogical University of Cracow

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

Diagram,

pseudometric,

dist-morphism,

multivalued map determined by the dist-morphism,

𝔻-metric,

metrizable space of multivalued maps

Related subjects:

Mathematics,

General mathematics

© 2022 Mirosław Ślosarski, published by Pedagogical University of Cracow
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 License.

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