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Topological density of ccc Boolean algebras--Every cardinality occurs

Authors: Mariusz Rabus and Saharon Shelah
Journal: Proc. Amer. Math. Soc. 127 (1999), 2573-2581
MSC (1991): Primary 06E15; Secondary 54D80
Published electronically: May 19, 1999
MathSciNet review: 1486748
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Abstract | References | Similar Articles | Additional Information

Abstract: For every uncountable cardinal $\mu$ there is a ccc Boolean algebra whose topological density is $\mu$.

References [Enhancements On Off] (What's this?)

  • [HJS] A. Hajnal, I. Juhász, Z. Szentmiklóssy, Compact ccc spaces of prescribed density via hypergraphs, Combinatorics, Paul Erdös is eighty, Vo1. 1, 239-252, Bolyai Soc. Math. Stud., Budapest, 1993. MR 94i:54009

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Additional Information

Mariusz Rabus
Affiliation: Department of of Mathematics, York University, North York, Ontario, Canada M3J 1P3

Saharon Shelah
Affiliation: Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem 91904, Israel

Keywords: Topological density, ccc Boolean algebras
Received by editor(s): January 23, 1997
Received by editor(s) in revised form: October 27, 1997
Published electronically: May 19, 1999
Additional Notes: This research was supported by the Basic Research Foundation, administered by the Israeli Academy of Sciences and Humanities. Publication No. 631.
Communicated by: Alan Dow
Article copyright: © Copyright 1999 American Mathematical Society