We discuss some conditions which guarantee that the Kuratowski limit of a sequence of analytic sets is a Nash set.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap93-2-1, author = {Maciej P. Denkowski and Rafa\l\ Pierzcha\l a}, title = {On the Kuratowski convergence of analytic sets}, journal = {Annales Polonici Mathematici}, volume = {93}, year = {2008}, pages = {101-112}, zbl = {1140.14048}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap93-2-1} }
Maciej P. Denkowski; Rafał Pierzchała. On the Kuratowski convergence of analytic sets. Annales Polonici Mathematici, Tome 93 (2008) pp. 101-112. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap93-2-1/