We generalize the theory of generic subsets of definably compact definable groups to arbitrary o-minimal structures. This theory is a crucial part of the solution to Pillay's conjecture connecting definably compact definable groups with Lie groups.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm215-1-3, author = {M\'ario J. Edmundo and G. Terzo}, title = {A note on generic subsets of definable groups}, journal = {Fundamenta Mathematicae}, volume = {215}, year = {2011}, pages = {53-65}, zbl = {1244.03115}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm215-1-3} }
Mário J. Edmundo; G. Terzo. A note on generic subsets of definable groups. Fundamenta Mathematicae, Tome 215 (2011) pp. 53-65. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm215-1-3/