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Bernhard Herwig [3]B. Herwig [3]
  1.  28
    On ℵ0-categorical weakly o-minimal structures.B. Herwig, H. D. Macpherson, G. Martin, A. Nurtazin & J. K. Truss - 1999 - Annals of Pure and Applied Logic 101 (1):65-93.
    0-categorical o-minimal structures were completely described by Pillay and Steinhorn 565–592), and are essentially built up from copies of the rationals as an ordered set by ‘cutting and copying’. Here we investigate the possible structures which an 0-categorical weakly o-minimal set may carry, and find that there are some rather more interesting examples. We show that even here the possibilities are limited. We subdivide our study into the following principal cases: the structure is 1-indiscernible, in which case all possibilities are (...)
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  2. Weight ω in stable theories with few types.Bernhard Herwig - 1995 - Journal of Symbolic Logic 60 (2):353-373.
    We construct a type p with preweight ω with respect to itself in a theory with few types. A type with this property must be present in a stable theory with finitely many (but more than one) countable models. The construction is a modification of Hrushovski's important pseudoplane construction.
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  3.  6
    Stable theories without dense forking chains.Bernhard Herwig, James G. Loveys, Anand Pillay, Predag Tanović & O. Wagner - 1992 - Archive for Mathematical Logic 31 (5):297-303.
    We define a generalized notion of rank for stable theories without dense forking chains, and use it to derive that every type is domination-equivalent to a finite product of regular types. We apply this to show that in a small theory admitting finite coding, no realisation of a nonforking extension of some strong type can be algebraic over some realisation of a forking extension.
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    Abrusci, VM and Ruet, P., Non-commutative logic I: the multiplicative fragment (1) 29} 64 Bridges, D., Richman, F. and Schuster, P., Linear independence without choice (1) 95} 102 Creed, P. and Truss, JK, On o-amorphous sets (2} 3) 185} 226. [REVIEW]B. Herwig, H. D. Macpherson, G. Martin & A. Nurtazin - 1999 - Annals of Pure and Applied Logic 101 (1):299.
  5. On aleph0.B. Herwig, H. D. Macpherson, G. Martin, A. Nurtazin & J. K. Truss - 1999 - Annals of Pure and Applied Logic 101 (1):65-94.
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