Supercompactness of spaces of capacities and its consequences
It is proved that the space of normalized real-valued capacities on an openly generated compactum is an absolute retract. Existence of a normal binary subbase for closed subsets in the space of normalized lattice-valued capacities on an openly generated compactum is also shown, which implies that th...
| Main Author: | |
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| Format: | Article |
| Language: | English |
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Vasyl Stefanyk Precarpathian National University
2013-06-01
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| Series: | Karpatsʹkì Matematičnì Publìkacìï |
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| Online Access: | http://journals.pu.if.ua/index.php/cmp/article/view/174/139 |
| _version_ | 1818979577447317504 |
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| author | Cherkovskyi T.M. |
| author_facet | Cherkovskyi T.M. |
| author_sort | Cherkovskyi T.M. |
| collection | DOAJ |
| description | It is proved that the space of normalized real-valued capacities on an openly generated compactum is an absolute retract. Existence of a normal binary subbase for closed subsets in the space of normalized lattice-valued capacities on an openly generated compactum is also shown, which implies that this space is a Dugundji space. |
| first_indexed | 2024-12-20T17:01:45Z |
| format | Article |
| id | doaj.art-e51fc1fe41b64ed594441fbfeecd0a98 |
| institution | Directory Open Access Journal |
| issn | 2075-9827 |
| language | English |
| last_indexed | 2024-12-20T17:01:45Z |
| publishDate | 2013-06-01 |
| publisher | Vasyl Stefanyk Precarpathian National University |
| record_format | Article |
| series | Karpatsʹkì Matematičnì Publìkacìï |
| spelling | doaj.art-e51fc1fe41b64ed594441fbfeecd0a982022-12-21T19:32:31ZengVasyl Stefanyk Precarpathian National UniversityKarpatsʹkì Matematičnì Publìkacìï2075-98272013-06-0151143149Supercompactness of spaces of capacities and its consequencesCherkovskyi T.M.It is proved that the space of normalized real-valued capacities on an openly generated compactum is an absolute retract. Existence of a normal binary subbase for closed subsets in the space of normalized lattice-valued capacities on an openly generated compactum is also shown, which implies that this space is a Dugundji space.http://journals.pu.if.ua/index.php/cmp/article/view/174/139SupercompactnesscapacityDugundji spaceabsolute retract |
| spellingShingle | Cherkovskyi T.M. Supercompactness of spaces of capacities and its consequences Karpatsʹkì Matematičnì Publìkacìï Supercompactness capacity Dugundji space absolute retract |
| title | Supercompactness of spaces of capacities and its consequences |
| title_full | Supercompactness of spaces of capacities and its consequences |
| title_fullStr | Supercompactness of spaces of capacities and its consequences |
| title_full_unstemmed | Supercompactness of spaces of capacities and its consequences |
| title_short | Supercompactness of spaces of capacities and its consequences |
| title_sort | supercompactness of spaces of capacities and its consequences |
| topic | Supercompactness capacity Dugundji space absolute retract |
| url | http://journals.pu.if.ua/index.php/cmp/article/view/174/139 |
| work_keys_str_mv | AT cherkovskyitm supercompactnessofspacesofcapacitiesanditsconsequences |