We study a higher-dimensional version of the standard notion of a gap formed by a finite sequence of ideals of the quotient algebra 𝓟(ω)/fin. We examine different types of such objects found in 𝓟(ω)/fin both from the combinatorial and the descriptive set-theoretic side.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm213-1-2, author = {Antonio Avil\'es and Stevo Todorcevic}, title = {Multiple gaps}, journal = {Fundamenta Mathematicae}, volume = {215}, year = {2011}, pages = {15-42}, zbl = {1258.03055}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm213-1-2} }
Antonio Avilés; Stevo Todorcevic. Multiple gaps. Fundamenta Mathematicae, Tome 215 (2011) pp. 15-42. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm213-1-2/