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Complete embeddings
of the Cohen algebra into three families of c.c.c.,
non-measurable Boolean algebras
Natasha Dobrinen |
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Vol. 214 (2004), No. 2, 223–244
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Abstract |
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The Cohen algebra embeds as a complete subalgebra into three classic families of complete, atomless, c.c.c., non-measur- able Boolean algebras; namely, the families of Argyros algebras and Galvin-Hajnal algebras, and the atomless part of each Gaifman algebra. It immediately follows that the weak (ω,ω)-distributive law fails everywhere in each of these Boolean algebras. |
Milestones
Received: 3 December 2002
Revised: 22 July 2003
Published: 1 April 2004
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Authors |
| Natasha Dobrinen | |
| The Pennsylvania State
University Department of Mathematics 218 McAllister Building University Park, PA 16802 |
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