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/