A countably compact free Abelian group whose size has countable cofinality

Based on some set-theoretical observations, compactness results are given for general hit-and-miss hyperspaces. Compactness here is sometimes viewed splitting into “k-Lindelöfness” and ”k-compactness” for cardinals k. To focus only hit-and-miss structures, could look quite old-fashioned, but some im...

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Main Authors:	I. Castro Pereira, A.H. Tomita
Format:	Article
Language:	English
Published:	Universitat Politècnica de València 2004-04-01
Series:	Applied General Topology
Subjects:	Forcing Countably compact group Convergence Continuum Hypothesis Countable cofinality Size
Online Access:	http://polipapers.upv.es/index.php/AGT/article/view/1998

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spelling	doaj-b16f2c37dea245d3a50060abcbb390802020-11-25T00:30:58ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472004-04-01519710110.4995/agt.2004.19981620A countably compact free Abelian group whose size has countable cofinalityI. Castro Pereira0A.H. Tomita1Universidade de Sao PauloUniversidade de Sao PauloBased on some set-theoretical observations, compactness results are given for general hit-and-miss hyperspaces. Compactness here is sometimes viewed splitting into “k-Lindelöfness” and ”k-compactness” for cardinals k. 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 of Som Naimpally, to who this article is hearty dedicated.http://polipapers.upv.es/index.php/AGT/article/view/1998ForcingCountably compact groupConvergenceContinuum HypothesisCountable cofinalitySize
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	I. Castro Pereira A.H. Tomita
spellingShingle	I. Castro Pereira A.H. Tomita A countably compact free Abelian group whose size has countable cofinality Applied General Topology Forcing Countably compact group Convergence Continuum Hypothesis Countable cofinality Size
author_facet	I. Castro Pereira A.H. Tomita
author_sort	I. Castro Pereira
title	A countably compact free Abelian group whose size has countable cofinality
title_short	A countably compact free Abelian group whose size has countable cofinality
title_full	A countably compact free Abelian group whose size has countable cofinality
title_fullStr	A countably compact free Abelian group whose size has countable cofinality
title_full_unstemmed	A countably compact free Abelian group whose size has countable cofinality
title_sort	countably compact free abelian group whose size has countable cofinality
publisher	Universitat Politècnica de València
series	Applied General Topology
issn	1576-9402 1989-4147
publishDate	2004-04-01
description	Based on some set-theoretical observations, compactness results are given for general hit-and-miss hyperspaces. Compactness here is sometimes viewed splitting into “k-Lindelöfness” and ”k-compactness” for cardinals k. 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 of Som Naimpally, to who this article is hearty dedicated.
topic	Forcing Countably compact group Convergence Continuum Hypothesis Countable cofinality Size
url	http://polipapers.upv.es/index.php/AGT/article/view/1998
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A countably compact free Abelian group whose size has countable cofinality

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