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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Bibliographic Details
Main Authors:	René Bartsch, Harry Poppe
Format:	Article
Language:	English
Published:	Universitat Politècnica de València 2003-10-01
Series:	Applied General Topology
Subjects:	Hit-and-miss topology Compactness Relative completeness Relative compact unions Upper Vietoris topology
Online Access:	http://polipapers.upv.es/index.php/AGT/article/view/2033

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spelling	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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A short note on hit-and-miss hyperspaces

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