<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

Metrizable space of multivalued maps

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.

{"article-title":"Metrizable space of multivalued maps"}

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...

Metrizable space of multivalued maps

Published Online: Jan 21, 2022

Page range: 77 - 93

Received: Mar 13, 2021

Accepted: Aug 04, 2021

DOI: https://doi.org/10.2478/aupcsm-2021-0006

Keywords
Diagram, pseudometric, -morphism, multivalued map determined by the -morphism, 𝔻-metric, metrizable space of multivalued maps

© 2021 Mirosław Ślosarski, published by Sciendo

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.

Metrizable space of multivalued maps

Published Online: Jan 21, 2022

Page range: 77 - 93

Received: Mar 13, 2021

Accepted: Aug 04, 2021

DOI: https://doi.org/10.2478/aupcsm-2021-0006

KeywordsDiagram, pseudometric, -morphism, multivalued map determined by the -morphism, 𝔻-metric, metrizable space of multivalued maps

© 2021 Mirosław Ślosarski, published by Sciendo

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.

Keywords
Diagram, pseudometric, -morphism, multivalued map determined by the -morphism, 𝔻-metric, metrizable space of multivalued maps