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Simple complete Boolean algebras

Author(s): Thomas Jech; Saharon Shelah
Journal: Proc. Amer. Math. Soc. 129 (2001), 543-549.
MSC (1991): Primary 03Exx
Posted: July 27, 2000
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Abstract: For every regular cardinal $\kappa $ there exists a simple complete Boolean algebra with $\kappa $ generators.

References:

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M. Bekkali and R. Bonnet, Rigid Boolean Algebras, in: ``Handbook of Boolean Algebras'' vol. 2 (J. D. Monk and R. Bonnet, eds.,) p. 637-678, Elsevier Sci. Publ. 1989. CMP 21:10

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T. Jech, A propos d'algèbres de Boole rigide et minimal, C. R. Acad. Sc. Paris, série A, 274 (1972), 371-372. MR 44:6569

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Additional Information:

Thomas Jech
Affiliation: Department of Mathematics, The Pennsylvania State University, 218 McAllister Bldg., University Park, Pennsylvania 16802
Address at time of publication: Center for Theoretical Study, Jilská 1, 110 00 Praha 1, Czech Republic
Email: jech@math.psu.edu, jech@cts.cuni.cz

Saharon Shelah
Affiliation: Institute of Mathematics, The Hebrew University of Jerusalem, 91904 Jerusalem, Israel
Email: shelah@math.rutgers.edu

DOI: 10.1090/S0002-9939-00-05566-0
PII: S 0002-9939(00)05566-0
Received by editor(s): January 13, 1999
Received by editor(s) in revised form: April 30, 1999
Posted: July 27, 2000
Additional Notes: The authors were supported in part by National Science Foundation grants DMS--98-02783 and DMS--97-04477.
Communicated by: Carl G. Jockusch, Jr.
Copyright of article: Copyright 2000, American Mathematical Society

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