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...
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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 |
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doaj-e51fc1fe41b64ed594441fbfeecd0a982020-11-25T02:48:56ZengVasyl 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Cherkovskyi T.M. |
| spellingShingle |
Cherkovskyi T.M. Supercompactness of spaces of capacities and its consequences Karpatsʹkì Matematičnì Publìkacìï Supercompactness capacity Dugundji space absolute retract |
| author_facet |
Cherkovskyi T.M. |
| author_sort |
Cherkovskyi T.M. |
| title |
Supercompactness of spaces of capacities and its consequences |
| title_short |
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_sort |
supercompactness of spaces of capacities and its consequences |
| publisher |
Vasyl Stefanyk Precarpathian National University |
| series |
Karpatsʹkì Matematičnì Publìkacìï |
| issn |
2075-9827 |
| publishDate |
2013-06-01 |
| 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. |
| 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 |
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1724745869732872192 |