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Showing 1 to 3 of 3 for “"Transseries"”.

  1. Towards a model theory of logarithmic transseries

    Gehret, Allen RUniversity of Illinois at Urbana-Champaign2017

    DSpace SAF Submission Ingestion Package generated from Vireo submission #11336 on 2017-09-29 at 11:28:25

    uiuc Repository record

  2. Truncation in differential Hahn fields

    Camacho Ahumada, SantiagoUniversity of Illinois at Urbana-Champaign2018

    … the ambient field T of logarithmic-exponential transseries. It leads there to a theorem saying that under a natural ``splitting'' condition the Liouville closure of a truncation closed differential subfield of T is again truncation closed.

    uiuc Repository record

  3. Derivations on o-minimal fields

    Kaplan, Elliot AlexanderUniversity of Illinois at Urbana-Champaign2021

    … field $\mathbb{T}$ of logarithmic-exponential transseries by its natural restricted elementary functions. We then use this result to prove that the theory of $H_{T_{\operatorname{re}}}$-fields has a model companion."

    uiuc Repository record