A TRICHOTOMY FOR EXPANSIONS OF Ran BY TRAJECTORIES OF ANALYTIC PLANAR VECTOR FIELDS
نویسندگان
چکیده
Caveat. This note has become seriously out of date due, among other things, to recent work by Philipp Hieronymi [Defining the set of integers in expansions of the real field by a closed discrete set. Proc. Amer. Math. Soc. 138 (2010), no. 6, 21632168. MR2596055]. In particular, the paragraph after the proof of Corollary 4 should be struck. Rather than update this particular note, we are are actively working on an actual submittable paper. See also [Miller, Chris Expansions of o-minimal structures on the real field by trajectories of linear vector fields. Proc. Amer. Math. Soc. 139 (2011), no. 1, 319330. MR2729094] for related current developments.
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