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Embeddings of Cohen Algebras

✍ Scribed by Saharon Shelah; Jindřich Zapletal

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
447 KB
Volume
126
Category
Article
ISSN
0001-8708

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✦ Synopsis

There is another interpretation of the result. Let ( BA(}), < }) denote the class of complete Boolean algebras of uniform density } quasi-ordered by complete embeddability. This quasi-order can be understood as a rough measure of complexity of the algebras concerned. Now BA(+ 0 ) has just one element up to isomorphism; it is C(+ 0 ). The class BA(+ 1 ) can already be article no.

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