@article{AFST_2012_6_21_2_259_0, author = {F. Lucas and J. Madden and D. Schaub and M. Spivakovsky}, title = {Approximate roots of a valuation and the {Pierce-Birkhoff} conjecture}, journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques}, pages = {259--342}, publisher = {Universit\'e Paul Sabatier, Institut de Math\'ematiques}, address = {Toulouse}, volume = {Ser. 6, 21}, number = {2}, year = {2012}, doi = {10.5802/afst.1336}, mrnumber = {2978097}, zbl = {1271.13051}, language = {en}, url = {https://afst.centre-mersenne.org/articles/10.5802/afst.1336/} }