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David Evans
Utah State University
  1.  10
    ℵ0-Categorical Structures with a Predimension.David M. Evans - 2002 - Annals of Pure and Applied Logic 116 (1-3):157-186.
    We give an axiomatic framework for the non-modular simple 0-categorical structures constructed by Hrushovski. This allows us to verify some of their properties in a uniform way, and to show that these properties are preserved by iterations of the construction.
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  2.  23
    Supersimple Ω-Categorical Groups and Theories.David M. Evans & Frank O. Wagner - 2000 - Journal of Symbolic Logic 65 (2):767-776.
    An ω-categorical supersimple group is finite-by-abelian-by-finite, and has finite SU-rank. Every definable subgroup is commensurable with an acl( $\emptyset$ )-definable subgroup. Every finitely based regular type in a CM-trivial ω-categorical simple theory is non-orthogonal to a type of SU-rank 1. In particular, a supersimple ω-categorical CM-trivial theory has finite SU-rank.
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  3.  3
    Simplicity of the Automorphism Groups of Some Hrushovski Constructions.David M. Evans, Zaniar Ghadernezhad & Katrin Tent - 2016 - Annals of Pure and Applied Logic 167 (1):22-48.
  4.  30
    Ample Dividing.David M. Evans - 2003 - Journal of Symbolic Logic 68 (4):1385-1402.
    We construct a stable one-based, trivial theory with a reduct which is not trivial. This answers a question of John B. Goode. Using this, we construct a stable theory which is n-ample for all natural numbers n, and does not interpret an infinite group.
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  5.  12
    On the Automorphism Groups of Finite Covers.David M. Evans & Ehud Hrushovski - 1993 - Annals of Pure and Applied Logic 62 (2):83-112.
    We are concerned with identifying by how much a finite cover of an 0-categorical structure differs from a sequence of free covers. The main results show that this is measured by automorphism groups which are nilpotent-by-abelian. In the language of covers, these results say that every finite cover can be decomposed naturally into linked, superlinked and free covers. The superlinked covers arise from covers over a different base, and to describe this properly we introduce the notion of a quasi-cover.These results (...)
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  6.  19
    A Geohistorical Study of 'The Rise of Modern Science': Mapping Scientific Practice Through Urban Networks, 1500–1900. [REVIEW]Peter J. Taylor, Michael Hoyler & David M. Evans - 2008 - Minerva 46 (4):391-410.
    Using data on the ‘career’ paths of one thousand ‘leading scientists’ from 1450 to 1900, what is conventionally called the ‘rise of modern science’ is mapped as a changing geography of scientific practice in urban networks. Four distinctive networks of scientific practice are identified. A primate network centred on Padua and central and northern Italy in the sixteenth century expands across the Alps to become a polycentric network in the seventeenth century, which in turn dissipates into a weak polycentric network (...)
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  7.  29
    The Geometry of Hrushovski Constructions, I: The Uncollapsed Case.David M. Evans & Marco S. Ferreira - 2011 - Annals of Pure and Applied Logic 162 (6):474-488.
    An intermediate stage in Hrushovski’s construction of flat strongly minimal structures in a relational language L produces ω-stable structures of rank ω. We analyze the pregeometries given by forking on the regular type of rank ω in these structures. We show that varying L can affect the isomorphism type of the pregeometry, but not its finite subpregeometries. A sequel will compare these to the pregeometries of the strongly minimal structures.
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  8.  15
    Counterexamples to a Conjecture on Relative Categoricity.David M. Evans & P. R. Hewitt - 1990 - Annals of Pure and Applied Logic 46 (2):201-209.
  9.  14
    Finite Covers with Finite Kernels.David M. Evans - 1997 - Annals of Pure and Applied Logic 88 (2-3):109-147.
    We are concerned with the following problem. Suppose Γ and Σ are closed permutation groups on infinite sets C and W and ρ: Γ → Σ is a non-split, continuous epimorphism with finite kernel. Describe the possibilities for ρ. Here, we consider the case where ρ arises from a finite cover π: C → W. We give reasonably general conditions on the permutation structure W;Σ which allow us to prove that these covers arise in two possible ways. The first way, (...)
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  10.  22
    Some Remarks on Generic Structures.David M. Evans & Mark Wing Ho Wong - 2009 - Journal of Symbolic Logic 74 (4):1143 - 1154.
    We show that the N₀-categorical structures produced by Hrushovski's predimension construction with a control function fit neatly into Shelah's $SOP_n $ hierarchy: if they are not simple, then they have SOP₃ and NSOP₄. We also show that structures produced without using a control function can be undecidable and have SOP.
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  11.  21
    Vassar College, 124 Raymond Avenue, Poughkeepsie, Ny 12604, Usa. In a Review, a Reference “Jsl Xliii 148,” for Example, Refers Either to the Publication Reviewed on Page 148 of Volume 43 of the Journal, or to the Review Itself (Which Contains Full Bibliographical Information for the Reviewed Publication). Analogously, a Reference “Bsl VII 376” Refers to the Review Beginning on Page 376 in Volume 7 of This Bulletin, Or. [REVIEW]David M. Evans, Erich Grädel, Geoffrey P. Hellman, Denis Hirschfeldt, Thomas J. Jech, Julia Knight, Michael C. Laskowski, Volker Peckhaus, Wolfram Pohlers & Sławomir Solecki - 2005 - Bulletin of Symbolic Logic 11 (1):37.
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  12. Books to Asl, Box 742, Vassar College, 124 Raymond Avenue, Poughkeepsie, Ny 12604, Usa. In a Review, a Reference “Jsl Xliii 148,” for Example, Refers Either to the Publication Reviewed on Page 148 of Volume 43 of the Journal, or to the Review Itself (Which Contains Full Bibliographical Information for the Reviewed Publication). Analogously, a Reference. [REVIEW]Mirna Dzamonja, David M. Evans, Erich Grädel, Geoffrey P. Hellman, Denis Hirschfeldt, Julia Knight, Michael C. Laskowski, Roger Maddux, Volker Peckhaus & Wolfram Pohlers - 2005 - Bulletin of Symbolic Logic 11 (2).
     
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  13.  19
    The Geometry of Hrushovski Constructions, II. The Strongly Minimal Case.David M. Evans & Marco S. Ferreira - 2012 - Journal of Symbolic Logic 77 (1):337-349.
    We investigate the isomorphism types of combinatorial geometries arising from Hrushovski's flat strongly minimal structures and answer some questions from Hrushovski's original paper.
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  14.  5
    ℵ0-Categorical Structures with Arbitrarily Fast Growth of Algebraic Closure.David M. Evans & M. E. Pantano - 2002 - Journal of Symbolic Logic 67 (3):897-909.
  15. The Bulletin of Symbolic Logic Volume 11, Number 2, June 2005.Mirna Dzamonja, David M. Evans, Erich Gradel, Geoffrey P. Hellman, Denis Hirschfeldt, Julia Knight, Michael C. Laskowski, Roger Maddux, Volker Peckhaus & Wolfram Pohlers - 2005 - Bulletin of Symbolic Logic 11 (2).