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Sep 16, 2010 at 18:06 comment added Piero D'Ancona An appendix in Volume II of Hormander's treatise is dedicated to the proof of Tarski-Seidenberg. Applications are in the previous chapters in the same book.
Sep 16, 2010 at 16:10 comment added Lennart Meier Can you name some concrete articles by Hormander?
Aug 24, 2010 at 11:43 comment added Thierry Zell Related: Lojasiewicz was led to study real semi-analytic, then subanalytic sets, to solve -- at the same time as Hormander -- the problem of divsion (of distributions by analytic functions).
Aug 24, 2010 at 2:29 comment added Dan Ramras This result underlies the proof that real algebraic varieties are triangulable, which is useful in many places. If you're a topologist, it's great to know that anything cut out by polynomial equations is actually a space you know how to deal with!
Aug 23, 2010 at 20:47 history answered Piero D'Ancona CC BY-SA 2.5