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math.AG2015★ 2 cited
On the geometric and differential properties of closed sets definable in quasianalytic structures
Iwo Biborski
In this paper we show that the equivalences between certain properties of closed subanalytic sets proved by E. Bierstone and P. Milman in \cite{[BM-1]} hold for closed sets definab…
math.AG2014
On continuity of Guo Wuwen function
Z. Ambroży, I. Biborski
We show that the functions g and gs introduced by Guo Wuwen in [4] are continuous and semialgebraic. We use this fact to prove that the set Nn of ordered n-tuples of real numbers,…