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math.AG2017
Some non noetherian quasianalytic local rings
Abdelhafed Elkhadiri
We give an example of a non-noetherian quasi-analytic ring constructed using a quasi-analytic Denjoy-Carleman class. If we denote by the ring of those …
math.AG2012
On connected components of some globally semi-analytic sets
Abdelhafed Elkhadiri
We isolate a class, say , of global real analytic functions such that, each global semi-analytic set defined by has only finitely many connected componen…