A short note on hit-and-miss hyperspaces
Based on some set-theoretical observations, compactness results are given for general hit-and-miss hyperspaces. Compactness here is sometimes viewed splitting into “κ-Lindelöfness” and “κ-compactness” for cardinals κ. To focus only hit-and-miss structures, could look quite old-fashioned, but some im...
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Universitat Politècnica de València
2003-10-01
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Online Access: | http://polipapers.upv.es/index.php/AGT/article/view/2033 |
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doaj-9b691755bbb34bc8809a0872b830d1822020-11-24T21:31:53ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472003-10-014228128810.4995/agt.2003.20331650A short note on hit-and-miss hyperspacesRené Bartsch0Harry Poppe1Rostock UniversityRostock UniversityBased on some set-theoretical observations, compactness results are given for general hit-and-miss hyperspaces. Compactness here is sometimes viewed splitting into “κ-Lindelöfness” and “κ-compactness” for cardinals κ. To focus only hit-and-miss structures, could look quite old-fashioned, but some importance, at least for the techniques, is given by a recent result, [8], of Som Naimpally, to who this article is hearty dedicated.http://polipapers.upv.es/index.php/AGT/article/view/2033Hit-and-miss topologyCompactnessRelative completenessRelative compact unionsUpper Vietoris topology |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
René Bartsch Harry Poppe |
spellingShingle |
René Bartsch Harry Poppe A short note on hit-and-miss hyperspaces Applied General Topology Hit-and-miss topology Compactness Relative completeness Relative compact unions Upper Vietoris topology |
author_facet |
René Bartsch Harry Poppe |
author_sort |
René Bartsch |
title |
A short note on hit-and-miss hyperspaces |
title_short |
A short note on hit-and-miss hyperspaces |
title_full |
A short note on hit-and-miss hyperspaces |
title_fullStr |
A short note on hit-and-miss hyperspaces |
title_full_unstemmed |
A short note on hit-and-miss hyperspaces |
title_sort |
short note on hit-and-miss hyperspaces |
publisher |
Universitat Politècnica de València |
series |
Applied General Topology |
issn |
1576-9402 1989-4147 |
publishDate |
2003-10-01 |
description |
Based on some set-theoretical observations, compactness results are given for general hit-and-miss hyperspaces. Compactness here is sometimes viewed splitting into “κ-Lindelöfness” and “κ-compactness” for cardinals κ. To focus only hit-and-miss structures, could look quite old-fashioned, but some importance, at least for the techniques, is given by a recent result, [8], of Som Naimpally, to who this article is hearty dedicated. |
topic |
Hit-and-miss topology Compactness Relative completeness Relative compact unions Upper Vietoris topology |
url |
http://polipapers.upv.es/index.php/AGT/article/view/2033 |
work_keys_str_mv |
AT renebartsch ashortnoteonhitandmisshyperspaces AT harrypoppe ashortnoteonhitandmisshyperspaces AT renebartsch shortnoteonhitandmisshyperspaces AT harrypoppe shortnoteonhitandmisshyperspaces |
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1725959457479852032 |