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/