Definably extending partial orders in totally ordered structures |
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| Authors: | Janak Ramakrishnan Charles Steinhorn |
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| Institution: | 1. Google Inc., 76 9th Ave, , New York, NY 10011 United States of America;2. Department of Mathematics, Vassar College, , Poughkeepsie, 12604 NY United States of America |
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| Abstract: | We show, for various classes of totally ordered structures  , including o‐minimal and weakly o‐minimal structures, that every definable partial order on a subset of  extends definably in  to a total order. This extends the result proved in 5 for  and  o‐minimal. |
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