Immediate expansions by valuation of fields

Abstract

<p>The main subject of investigation is the so-called "immediate expansion''<br />phenomenon in various first-order valued-field structures over the<br />corresponding underlying field structures. In particular, certain "valued<br />o-minimal fields'', certain Henselian valued fields with non-divisible valued<br />groups, and certain separably closed valued fields of finite imperfection degree, are<br />shown to have this property.</p>