A countably compact free Abelian group whose size has countable cofinality | Zendy

is C.A. Martins Pereira | Zendy; Artur Hideyuki Tomita | Zendy

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A countably compact free Abelian group whose size has countable cofinality

Author(s) -

is C.A. Martins Pereira,

Artur Hideyuki Tomita

Publication year - 2004

Publication title -

applied general topology

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.638

H-Index - 13

eISSN - 1989-4147

pISSN - 1576-9402

DOI - 10.4995/agt.2004.1998

Subject(s) - compact space , cofinality , mathematics , countable set , abelian group , set (abstract data type) , group (periodic table) , focus (optics) , extension (predicate logic) , pure mathematics , discrete mathematics , computer science , uncountable set , physics , optics , programming language , quantum mechanics

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

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