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Weak dividing, chain conditions, and simplicity

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Abstract.

We study the properties of the independence relation given by weak dividing in simple theories. We also analyze abstract independence notions satisfying various axioms and relate these to the simple case.

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Authors and Affiliations

  1. Department of Mathematics, University of Maryland College Park, College Park Md, 20742, USA

    Alfred Dolich

  2. Department of Mathematics, University of Wisconsin, Madison, WI, 53706

    Alfred Dolich

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  1. Alfred Dolich
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Correspondence to Alfred Dolich.

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Mathematics Subject Classification (2000): 03C45

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Dolich, A. Weak dividing, chain conditions, and simplicity. Arch. Math. Logic 43, 265–283 (2004). https://doi.org/10.1007/s00153-003-0176-0

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  • DOI: https://doi.org/10.1007/s00153-003-0176-0

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