Multiple gaps
Volume 213 / 2011
Fundamenta Mathematicae 213 (2011), 15-42
MSC: 03E05, 03E15, 03E50, 03E75, 46B26.
DOI: 10.4064/fm213-1-2
Abstract
We study a higher-dimensional version of the standard notion of a gap formed by a finite sequence of ideals of the quotient algebra $\mathcal{P}(\omega)/{\rm fin}$. We examine different types of such objects found in $\mathcal{P}(\omega)/{\rm fin}$ both from the combinatorial and the descriptive set-theoretic side.
