a1 Simion Stoilow Institute of Mathematics of the Romanian Academy, Research Unit 5, P. O. Box 1-764, RO-014700 Bucharest, Romania e-mail: Marian.Vajaitu@imar.ro
a2 Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green Street, Urbana, IL 61801, USA e-mail: email@example.com
Let p be a prime number, Q p the field of p-adic numbers, K a finite field extension of Q p , K a fixed algebraic closure of K and C p the completion of K with respect to the p-adic valuation. We introduce and investigate an equivalence relation on C p , defined in terms of field extensions and metric properties of Galois orbits over K.
(Received November 24 2011)
(Revised March 13 2012)
(Accepted April 17 2012)
2000 Mathematics Subject Classification