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Cell decomposition and definable functions for weak p-adic structures

Authors

  • Eva Leenknegt

    Corresponding author
    1. Department of Mathematics, Purdue University, 150 N. University Street, West Lafayette, IN 47907-2067, United States of America
    • Department of Mathematics, Purdue University, 150 N. University Street, West Lafayette, IN 47907-2067, United States of America
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Abstract

We develop a notion of cell decomposition suitable for studying weak p-adic structures (reducts of p-adic fields where addition and multiplication are not (everywhere) definable). As an example, we consider a structure with restricted addition.

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