21 citations · 101 across the 38 of their papers we have counts for
4 papers · 1 filter
Weakly Radon-Nikodým Boolean algebras and independent sequences
Antonio Avilés, Gonzalo Martínez-Cervantes, Grzegorz Plebanek
A compact space is said to be weakly Radon-Nikodým (WRN) if it can be weak*-embedded into the dual of a Banach space not containing . We investigate WRN Boolean algebras, i…
On disconnected images of connected spaces
Antonio Avilés, Grzegorz Plebanek
We introduce the notion that a zero-dimensional compact space is a \emph{Boolean image} of an arbitrary compact space . When is also zero-dimensional, this just means th…
A 1-separably injective space that does not contain
Antonio Avilés, Piotr Koszmider
We show that the problem whether every -separably injective Banach space contains an isomorphic copy of is undecidable. Namely, unlike under the continuum hypothes…
Baire theorem for ideals of sets
A. Avilés, V. Kadets, A. Pérez +1
We study ideals on satisfying the following Baire-type property: if is a complete metric space and is a family…