The theorem of the complement for sub-Pfaffian sets Export

@misc{citeulike:1715904, abstract = {We prove that if R is an o-minimal expansion of the real field that admits analytic cell decomposition, then the complement of a nested sub-Pfaffian set over R is again nested sub-Pfaffian over R. It follows that the Pfaffian closure of R is model complete and can be obtained by expanding R by all nested Rolle leaves over R.}, archivePrefix = {arXiv}, author = {Lion, Jean-Marie and Speissegger, Patrick}, citeulike-article-id = {1715904}, citeulike-linkout-0 = {http://arxiv.org/abs/math/0602196}, citeulike-linkout-1 = {http://arxiv.org/pdf/math/0602196}, day = {9}, eprint = {math/0602196}, keywords = {fewnomials, o-minimal}, month = {Feb}, posted-at = {2007-10-01 15:50:55}, priority = {3}, title = {The theorem of the complement for sub-Pfaffian sets}, url = {http://arxiv.org/abs/math/0602196}, year = {2006} }

TY - ELEC ID - citeulike:1715904 L3 - citeulike-article-id:1715904 N2 - We prove that if R is an o-minimal expansion of the real field that admits analytic cell decomposition, then the complement of a nested sub-Pfaffian set over R is again nested sub-Pfaffian over R. It follows that the Pfaffian closure of R is model complete and can be obtained by expanding R by all nested Rolle leaves over R. TI - The theorem of the complement for sub-Pfaffian sets KW - fewnomials KW - o-minimal AU - Lion, Jean-Marie AU - Speissegger, Patrick PY - 2006/Feb/09/ UR - http://arxiv.org/abs/math/0602196 ER -