On $\ast$-measure monads on the category of ultrametric spaces
The functor of $\ast$-measures of compact support on the category of ultrametric spaces and non-expanding maps is introduced in the previous publication of the authors. In the present note, we prove that this functor determines a monad on this category. The monad structure allows us to define the te...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Vasyl Stefanyk Precarpathian National University
2022-12-01
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| Series: | Karpatsʹkì Matematičnì Publìkacìï |
| Subjects: | |
| Online Access: | https://journals.pnu.edu.ua/index.php/cmp/article/view/5892 |
| _version_ | 1797205799407190016 |
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| author | Kh.O. Sukhorukova M.M. Zarichnyi |
| author_facet | Kh.O. Sukhorukova M.M. Zarichnyi |
| author_sort | Kh.O. Sukhorukova |
| collection | DOAJ |
| description | The functor of $\ast$-measures of compact support on the category of ultrametric spaces and non-expanding maps is introduced in the previous publication of the authors. In the present note, we prove that this functor determines a monad on this category. The monad structure allows us to define the tensor product of $\ast$-measures. We consider some applications of this notion to equilibrium theory. |
| first_indexed | 2024-04-24T08:56:52Z |
| format | Article |
| id | doaj.art-9d368a6d297d4071b5a38af448891af2 |
| institution | Directory Open Access Journal |
| issn | 2075-9827 2313-0210 |
| language | English |
| last_indexed | 2024-04-24T08:56:52Z |
| publishDate | 2022-12-01 |
| publisher | Vasyl Stefanyk Precarpathian National University |
| record_format | Article |
| series | Karpatsʹkì Matematičnì Publìkacìï |
| spelling | doaj.art-9d368a6d297d4071b5a38af448891af22024-04-16T07:12:26ZengVasyl Stefanyk Precarpathian National UniversityKarpatsʹkì Matematičnì Publìkacìï2075-98272313-02102022-12-0114242943610.15330/cmp.14.2.429-4365097On $\ast$-measure monads on the category of ultrametric spacesKh.O. Sukhorukova0https://orcid.org/0000-0002-4619-2445M.M. Zarichnyi1Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, UkraineIvan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, UkraineThe functor of $\ast$-measures of compact support on the category of ultrametric spaces and non-expanding maps is introduced in the previous publication of the authors. In the present note, we prove that this functor determines a monad on this category. The monad structure allows us to define the tensor product of $\ast$-measures. We consider some applications of this notion to equilibrium theory.https://journals.pnu.edu.ua/index.php/cmp/article/view/5892ultrametric spacenon-expanding map$\ast$-measuremonadequilibrium |
| spellingShingle | Kh.O. Sukhorukova M.M. Zarichnyi On $\ast$-measure monads on the category of ultrametric spaces Karpatsʹkì Matematičnì Publìkacìï ultrametric space non-expanding map $\ast$-measure monad equilibrium |
| title | On $\ast$-measure monads on the category of ultrametric spaces |
| title_full | On $\ast$-measure monads on the category of ultrametric spaces |
| title_fullStr | On $\ast$-measure monads on the category of ultrametric spaces |
| title_full_unstemmed | On $\ast$-measure monads on the category of ultrametric spaces |
| title_short | On $\ast$-measure monads on the category of ultrametric spaces |
| title_sort | on ast measure monads on the category of ultrametric spaces |
| topic | ultrametric space non-expanding map $\ast$-measure monad equilibrium |
| url | https://journals.pnu.edu.ua/index.php/cmp/article/view/5892 |
| work_keys_str_mv | AT khosukhorukova onastmeasuremonadsonthecategoryofultrametricspaces AT mmzarichnyi onastmeasuremonadsonthecategoryofultrametricspaces |