SOME THEORIES HAVING COUKTABLY MANY COUNTABLE MODELS by SICEL J. CUTLAND in Hull (Great Britain
β¦ LIBER β¦
Theories Having Finitely Many Countable Homogeneous Models
β Scribed by James H. Schmerl
- Publisher
- John Wiley and Sons
- Year
- 1986
- Tongue
- English
- Weight
- 76 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
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## Abstract We present two conditions which are equivalent to having an almost Ο~0~βcategorical model companion. Mathematics Subject Classification: 03C35.
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A theory T is called almost No-categorical if for any pure typespl(zl), . . . ,pn(zn) there are only finitely many pure types which extend p 1 ( ~1 ) U . . . U p ~( z , ) . It is shown that if T is an almost No-categorical theory with I(No,T) = 3, then a dense linear ordering is interpretable in T .
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