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May 2, 2010 at 22:53 comment added Todd Trimble Thanks, Carl. Yes, I have the book in my library, and spurred by your comment I'm looking at it again. The material is surely closely related to the theory of o-minimal structures, but I find the axioms of X-sets not at all easy to work with. For me, a huge advantage of working with o-minimal structures is their closure under first-order logical operations and the order relation. By contrast, axiom 3 in the definition of X-sets is for my purposes awkward. Anyway, I really do want to work in the o-minimal context. (Disclaimer: I'm a category theorist, not a hard-core geometer!)
May 2, 2010 at 22:14 history answered Carl Futia CC BY-SA 2.5