" Descriptive Topology in Selected Topics of Functional Analysis" is a collection of recent
developments in the field of descriptive topology, specifically focused on the classes of …

We construct a compact linearly ordered space [Formula: see text] of weight ℵ1, such that
the space [Formula: see text] is not isomorphic to a Banach space with a projectional …

Abstract We construct an Asplund Banach space X with a norming Markuševič basis such
that X is not weakly compactly generated. This solves a long-standing open problem from …

We prove some generalizations of results concerning Valdivia compact spaces (equivalently
spaces with a commutative retractional skeleton) to the spaces with a retractional skeleton …

For any cardinal number $\kappa $ and an index set $\Gamma $, $\Sigma_\kappa $-product
of real lines consists of elements of ${\mathbb R}^\Gamma $ having $<\kappa $ nonzero …

A compact space $ K $ is Valdivia compact if it can be embedded in a Tikhonov cube $ I^ A
$ in such a way that the intersection $ K\cap\Sigma $ is dense in $ K $, where $\Sigma $ is …

Denote by [0, ω 1) the locally compact Hausdorff space consisting of all countable ordinals,
equipped with the order topology, and let C 0 [0, ω 1) be the Banach space of scalar‐valued …

We study compact spaces which are obtained from metric compacta by iterating the
operation of inverse limit of continuous sequences of retractions. This class, denoted by R …

We study conditions on Banach spaces close to separability. We say that a topological
space is pcc if every point-finite family of open subsets of the space is countable. For a …

We study linearly ordered spaces which are Valdivia compact in their order topology. We
find an internal characterization of these spaces and we present a counter-example …