19 citations · 125 across the 36 of their papers we have counts for
7 papers · 1 filter
-sums and the Banach space
Christina Brech, Piotr Koszmider
This paper is concerned with the isomorphic structure of the Banach space and how it depends on combinatorial tools whose existence is consistent but not provable…
Some topological invariants and biorthogonal systems in Banach spaces
Piotr Koszmider
We consider topological invariants on compact spaces related to the sizes of discrete subspaces (spread), densities of subspaces, Lindelof degree of subspaces, irredundant families…
Universal objects and associations between classes of Banach spaces and classes of compact spaces
Piotr Koszmider
In the context of classical associations between classes of Banach spaces and classes of compact Hausdorff spaces we survey known results and open questions concerning the existenc…
A Banach space in which every injective operator is surjective
Antonio Avilés, Piotr Koszmider
We construct an infinite dimensional Banach space of continuous functions C(K) such that every one-to-one operator on C(K) is onto.
Almost disjoint families of countable sets and separable complementation properties
Jesús Ferrer, Piotr Koszmider, Wiesław Kubiś
We study the separable complementation property (SCP) and its natural variations in Banach spaces of continuous functions over compacta induced by almost disjoint…
Independent families in Boolean algebras with some separation properties
Piotr Koszmider, Saharon Shelah
We prove that any Boolean algebra with the subsequential completeness property contains an independent family of size continuum. This improves a result of Argyros from the 80ties w…