Generalized Ultrametric Spaces
by
Sibylla Priess-Crampe
University of Munich

Ultrametric spaces are a generalization of valued fields and valued groups. Of special importance for a valued field (K, v) are its value group \Gamma and residue field K_v. By Kaplansky's theorems we know that under certain hypotheses, K can be embedded into the field of formal power series with coefficients in K_v and elements of \Gamma as exponents. Similar concepts exist and an analogous embedding theorem holds for valued abelian groups. We shall develop the corresponding notions for ultrametric spaces and we shall show that also for these spaces there exists such an embedding theorem.

Date received: April 30, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacv-42.