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Weakly diagonal algebras and definable principal congruences

✍ Scribed by Kalle Kaarli; Alden Pixley

Publisher: Springer
Year: 2006
Tongue: English
Weight: 539 KB
Volume: 55
Category: Article
ISSN: 0002-5240
DOI: 10.1007/s00012-006-1948-2

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## Abstract We consider the sets definable in the countable models of a weakly o‐minimal theory __T__ of totally ordered structures. We investigate under which conditions their Boolean algebras are isomorphic (hence __T__ is p‐__ω__‐categorical), in other words when each of these definable sets adm