12 citations · 22 across the 21 of their papers we have counts for
23 papers · 1 filter
On almost disjoint families and Johnson-Lindenstrauss spaces
Antonio Avilés, Grzegorz Plebanek, Luis Sáenz
Every almost disjoint family of infinite subsets of gives rise to a scattered compact space and a family of Johnson-Lindenstrauss spaces JL. We consider almost…
On the three space property for -spaces
Grzegorz Plebanek, Alberto Salguero-Alarcón
Assuming , we show that for every Eberlein compact space of weight there exists a short exact sequence , wher…
Countable discrete extensions of compact lines
Maciej Korpalski, Grzegorz Plebanek
We consider a separable compact line and its extension consisting of and a countable number of isolated points. The main object of study is the existence of a bounded e…
The complemented subspace problem for -spaces: A counterexample
Grzegorz Plebanek, Alberto Salguero Alarcón
We prove that there is a compact space and a 1-complemented subspace of the Banach space which is not isomorphic to a space of continuous functions.
Abundance of independent sequences in compact spaces and Boolean algebras
Antonio Avilés, Gonzalo Martínez-Cervantes, Grzegorz Plebanek
It follows from a theorem of Rosenthal that a compact space is if and only if every Eberlein continuous image is metrizable. Motivated by this result, for a class of compact…
Monolithic spaces of measures
Grzegorz Plebanek
For a compact space we consider the space , of probability regular Borel measures on , equipped with the topology inherited from . We discuss po…