Atomized measures and semiconvex compacta
A class of atomized measures on compacta, which are generalizations of regular real-valued measures, is introduced. It has also been shown that the space of normalized (weakly) atomized measures on a compactum is a free object over this compactum in the category of (strongly) semiconvex compacta.
| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Vasyl Stefanyk Precarpathian National University
2013-01-01
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| Series: | Karpatsʹkì Matematičnì Publìkacìï |
| Online Access: | http://journals.pu.if.ua/index.php/cmp/article/view/62 |
| _version_ | 1828372659045400576 |
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| author | O. R. Nykyforchyn |
| author_facet | O. R. Nykyforchyn |
| author_sort | O. R. Nykyforchyn |
| collection | DOAJ |
| description | A class of atomized measures on compacta, which are generalizations of regular real-valued measures, is introduced. It has also been shown that the space of normalized (weakly) atomized measures on a compactum is a free object over this compactum in the category of (strongly) semiconvex compacta. |
| first_indexed | 2024-04-14T07:07:02Z |
| format | Article |
| id | doaj.art-5005a5dca8bc48b2899718fd36bda5c2 |
| institution | Directory Open Access Journal |
| issn | 2075-9827 2313-0210 |
| language | English |
| last_indexed | 2024-04-14T07:07:02Z |
| publishDate | 2013-01-01 |
| publisher | Vasyl Stefanyk Precarpathian National University |
| record_format | Article |
| series | Karpatsʹkì Matematičnì Publìkacìï |
| spelling | doaj.art-5005a5dca8bc48b2899718fd36bda5c22022-12-22T02:06:32ZengVasyl Stefanyk Precarpathian National UniversityKarpatsʹkì Matematičnì Publìkacìï2075-98272313-02102013-01-01228310010.15330/cmp.2.2.83-10067Atomized measures and semiconvex compactaO. R. Nykyforchyn0Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, UkraineA class of atomized measures on compacta, which are generalizations of regular real-valued measures, is introduced. It has also been shown that the space of normalized (weakly) atomized measures on a compactum is a free object over this compactum in the category of (strongly) semiconvex compacta.http://journals.pu.if.ua/index.php/cmp/article/view/62 |
| spellingShingle | O. R. Nykyforchyn Atomized measures and semiconvex compacta Karpatsʹkì Matematičnì Publìkacìï |
| title | Atomized measures and semiconvex compacta |
| title_full | Atomized measures and semiconvex compacta |
| title_fullStr | Atomized measures and semiconvex compacta |
| title_full_unstemmed | Atomized measures and semiconvex compacta |
| title_short | Atomized measures and semiconvex compacta |
| title_sort | atomized measures and semiconvex compacta |
| url | http://journals.pu.if.ua/index.php/cmp/article/view/62 |
| work_keys_str_mv | AT ornykyforchyn atomizedmeasuresandsemiconvexcompacta |