C-minimal theory: Difference between revisions

Revision as of 19:24, 9 May 2008

Revision as of 19:25, 9 May 2008

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==Example==

For a [[prime number]] ''p'' and a [[p-adic number|''p''-adic number]] ''a'' let |''a''|_''p'' denote its ''p''-adic norm. Then the relation defined by <math>C(a;bc) \iff |b-c|_p < |a-c|_p</math> is a ''C''-relation, and the theory of '''Q'''_''p'' is with addition and this relation is C-minimal. withThe respecttheory toof this'''Q'''_''p'' relationas a field, however, is not C-minimal.

==References==