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Definable groups in topological differential fields

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 نشر من قبل Francoise Point Dr
 تاريخ النشر 2017
  مجال البحث
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For certain theories of existentially closed topological differential fields, we show that there is a strong relationship between $mathcal Lcup{D}$-definable sets and their $mathcal L$-reducts, where $mathcal L$ is a relational expansion of the field language and $D$ a symbol for a derivation. This enables us to associate with an $mathcal Lcup{D}$-definable group in models of such theories, a local $mathcal L$-definable group. As a byproduct, we show that in closed ordered differential fields, one has the descending chain condition on centralisers.



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