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  1.  37
    On the number of models of uncountable theories.Ambar Chowdhury & Anand Pillay - 1994 - Journal of Symbolic Logic 59 (4):1285-1300.
    In this paper we establish the following theorems. THEOREM A. Let T be a complete first-order theory which is uncountable. Then: (i) I(|T|, T) ≥ ℵ 0 . (ii) If T is not unidimensional, then for any λ ≥ |T|, I (λ, T) ≥ ℵ 0 . THEOREM B. Let T be superstable, not totally transcendental and nonmultidimensional. Let θ(x) be a formula of least R ∞ rank which does not have Morley rank, and let p be any stationary completion (...)
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  2.  37
    On the number of nonisomorphic models of size |t|.Ambar Chowdhury - 1994 - Journal of Symbolic Logic 59 (1):41 - 59.
    Let T be an uncountable, superstable theory. In this paper we prove Theorem A. If T has finite rank, then I(|T|, T) ≥ ℵ0. Theorem B. If T is trivial, then I(|T|, T) ≥ ℵ0.
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  3. (1 other version)A definable continuous rank for nonmultidimensional superstable theories.Ambar Chowdhury, James Loveys & Predrag Tanović - 1996 - Journal of Symbolic Logic 61 (3):967-984.
  4.  20
    An Unclassifiable Unidimensional Theory without OTOP.Ambar Chowdhury & Bradd Hart - 1997 - Notre Dame Journal of Formal Logic 38 (1):93-103.
    A countable unidimensional theory without the omitting types order property (OTOP) has prime models over pairs and is hence classifiable. We show that this is not true for uncountable unidimensional theories.
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  5.  37
    A note on trivial nonmultidimensional superstable theories.Ambar Chowdhury - 1995 - Archive for Mathematical Logic 34 (1):21-31.
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