Maximal immediate extensions of valued differential fields

Abstract

We show that every valued differential field has an immediate strict extension that is spherically complete. We also discuss the issue of uniqueness up to isomorphism of such an extension.

31 pp; updated according to suggestions by the referee

References in corpus (1)

• On the uniqueness of maximal immediate extensions of valued differential fields

Cited by in corpus (5)

• Differential-henselianity and maximality of asymptotic valued differential fields
• $T$-convex $T$-differential fields and their immediate extensions
• On the uniqueness of maximal immediate extensions of valued differential fields
• Newtonian valued differential fields with arbitrary value group
• Monotone $T$-convex $T$-differential fields