<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

Online veröffentlicht: 21. Jan. 2022

Seitenbereich: 77 - 93

Eingereicht: 13. März 2021

Akzeptiert: 04. Aug. 2021

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

Schlüsselwörter
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

Online veröffentlicht: 21. Jan. 2022

Seitenbereich: 77 - 93

Eingereicht: 13. März 2021

Akzeptiert: 04. Aug. 2021

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

SchlüsselwörterDiagram, 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.

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