On some definable sets over fields with analytic structure Export

@article{citeulike:5957321, abstract = {We discover geometric properties of certain definable sets over non-Archimedean valued fields with analytic structures. Results include a parameterized smooth stratification theorem and the existence of a bound on the piece number of fibers for these sets. In addition, we develop a dimension theory for these sets and also for the formulas which define them.}, author = {Fırat \c{C}elı̇kler, Y.}, citeulike-article-id = {5957321}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/j.apal.2009.09.001}, citeulike-linkout-1 = {http://linkinghub.elsevier.com/retrieve/pii/S0168007209001821}, day = {15}, doi = {10.1016/j.apal.2009.09.001}, issn = {01680072}, journal = {Annals of Pure and Applied Logic}, month = {October}, posted-at = {2009-10-17 20:57:21}, title = {On some definable sets over fields with analytic structure}, url = {http://dx.doi.org/10.1016/j.apal.2009.09.001}, year = {2009} }

TY - JOUR ID - citeulike:5957321 L3 - citeulike-article-id:5957321 N2 - We discover geometric properties of certain definable sets over non-Archimedean valued fields with analytic structures. Results include a parameterized smooth stratification theorem and the existence of a bound on the piece number of fibers for these sets. In addition, we develop a dimension theory for these sets and also for the formulas which define them. JF - Annals of Pure and Applied Logic SN - 01680072 TI - On some definable sets over fields with analytic structure AU - Fırat Çelı̇kler, Y PY - 2009/10/15/ UR - http://dx.doi.org/10.1016/j.apal.2009.09.001 ER -