Quasianalytic Denjoy-Carleman classes and o-minimality

201 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

On the algebraic points of a definable set (2009, background): “For a description of these and further examples see [4, 5, 18 , 19, 20] in addition to the references above, for a development of the theory of o-minimal structures see [3, 5], and for the context of the diophantine results pursued here see [16].”
ON QUASIANALYTIC LOCAL RINGS (2005, background): “A proof taking this additional feature into account can be found in [ 39 ], where Theorem 5 finds unexpected application in model theory 4 .”
O-minimality and the André-Oort conjecture for $\mathbb{C}^{n}$ (2011, background): “Further examples may be found described in [80, 86, 79].”
The rational points of a definable set (2006, background): “However, it is known (see [27]) that there is no largest o-minimal structure and that there are o-minimal structures containing nowhere analytic functions.”