The spectrum problem II: Totally transcendental and infinite depth

Saharon Shelah

doi:10.1007/BF02761238

The spectrum problem II: Totally transcendental and infinite depth

Saharon Shelah

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

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Abstract

We examine the main gap for the class of models of totally transcendental first-order theories, and compute the number of אe{open}-saturated models of power אe{open} of a superstable T without the dop which is shallow but of depth ≧ω.

Original language	English
Pages (from-to)	357-362
Number of pages	6
Journal	Israel Journal of Mathematics
Volume	43
Issue number	4
DOIs	https://doi.org/10.1007/BF02761238
State	Published - Dec 1982

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abstract = "We examine the main gap for the class of models of totally transcendental first-order theories, and compute the number of אe\{open\}-saturated models of power אe\{open\} of a superstable T without the dop which is shallow but of depth ≧ω.",

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The spectrum problem II: Totally transcendental and infinite depth

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