A countably compact free Abelian group whose size has countable cofinality

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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Bibliographic Details
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
Description
Summary: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.
ISSN:1576-9402
1989-4147

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