19 citations · 38 across the 7 of their papers we have counts for
5 papers · 1 filter
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…
On biorthogonal systems whose functionals are finitely supported
Christina Brech, Piotr Koszmider
We show that for each natural it is consistent that there is a compact Hausdorff space such that in there is no uncountable (semi)biorthogonal sequence $…
On universal Banach spaces of density continuum
Christina Brech, Piotr Koszmider
We consider the question whether there exists a Banach space of density continuum such that every Banach space of density not bigger than continuum isomorphically embeds into $…
Thin-very tall compact scattered spaces which are hereditarily separable
Christina Brech, Piotr Koszmider
We strengthen the property of a function considered by Baumgartner and Shelah. This allows us to consider new types of amalgamations in th…
On the density of Banach {} spaces with the Grothendieck property
Christina Brech
Using the method of forcing we prove that consistently there is a Banach space of continuous functions on a compact Hausdorff space with the Grothendieck property and with density…