21 citations · 101 across the 38 of their papers we have counts for
4 papers · 1 filter
An introduction to multiple gaps
Antonio Avilés
This is an introductory article to the theory of multiple gaps.
Basis problem for analytic multiple gaps
Antonio Avilés, Stevo Todorcevic
A k-gap is a finite k-sequence of pairwise disjoint monotone families of infinite subsets of N mixed in such a way that we cannot find a partition of N such that each family is tri…
A Boolean algebra and a Banach space obtained by push-out iteration
Antonio Avilés, Christina Brech
Under the assumption that the continuum c is a regular cardinal, we prove the existence and uniqueness of a Boolean algebra B of size c defined by sharing the main structural prope…
Multiple gaps
Antonio Avilés, Stevo Todorcevic
We consider the notion of multiple gap as a finite set of ideals that cannot be separated. We study the different types of such objects that can be found in the Boolean algebra of…