From the 1 of 6 linked papers with an AI index.
1 citations · 1 across the 2 of their papers we have counts for
6 papers
On almost disjoint families and Johnson-Lindenstrauss spaces
Antonio Avilés, Grzegorz Plebanek, Luis Sáenz
The paper studies almost disjoint families of infinite subsets of ℕ that come from finitely branching trees, constructing associated scattered compact spaces and Johnson‑Lindenstra…
Coordinate systems in Banach spaces and lattices
Antonio Avilés, Christian Rosendal, Mitchell A. Taylor +1
Using methods of descriptive set theory, in particular, the determinacy of infinite games of perfect information, we answer several questions from the literature regarding differen…
The ball fixed point property in spaces of continuous functions
Antonio Avilés, MarÃa Japón, Christopher Lennard +2
A Banach space has the ball fixed point property (BFPP) if for every closed ball and for every nonexpansive mapping , there is a fixed point. We study the B…
On the class of NY compact spaces of finitely supported elements and related classes
Antonio Avilés, MikoÅaj Krupski
We prove that a compact space embeds into a -product of compact metrizable spaces (-product of intervals) if and only if is (strongly countable-dimensional) heredit…
Every Lindelöf scattered subspace of a -product of real lines is -compact
Antonio Avilés, MikoÅaj Krupski
We prove that every Lindelöf scattered subspace of a -product of first-countable spaces is -compact. In particular, we obtain the result stated in the title. This answers…
A Banach space with -orthogonal sequences but without -orthogonal elements
Antonio Avilés, Gonzalo MartÃnez-Cervantes, Alejandro Poveda +1
We prove that the existence of Banach spaces with -orthogonal sequences but without -orthogonal elements is independent of the standard foundation of Mathematics, ZFC. This p…