We discuss the problem of whether there exists a restriction of the noncofinal ideal on that is normal.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm221-1-1, author = {Pierre Matet}, title = {Normal restrictions of the noncofinal ideal on $P\_{$\kappa$}($\lambda$)$ }, journal = {Fundamenta Mathematicae}, volume = {220}, year = {2013}, pages = {1-22}, zbl = {1300.03023}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm221-1-1} }
Pierre Matet. Normal restrictions of the noncofinal ideal on $P_{κ}(λ)$ . Fundamenta Mathematicae, Tome 220 (2013) pp. 1-22. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm221-1-1/