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The spectrum problem II: Totally transcendental and infinite depth

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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 ℵɛ-saturated models of power ℵɛ of a superstableT without the dop which is shallow but of depth ≧ω.

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This research was supported by the United States-Israel Binational Science Foundation.

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Shelah, S. The spectrum problem II: Totally transcendental and infinite depth. Israel J. Math. 43, 357–362 (1982). https://doi.org/10.1007/BF02761238

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  • DOI: https://doi.org/10.1007/BF02761238

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