15 citations · 28 across the 4 of their papers we have counts for
5 papers
Continuous selections of multivalued mappings
Dušan Repovš, Pavel V. Semenov
This survey covers in our opinion the most important results in the theory of continuous selections of multivalued mappings (approximately) from 2002 through 2012. It extends and c…
On continuous choice of retractions onto nonconvex subsets
Dušan Repovš, Pavel V. Semenov
For a Banach space and for a class $\A$ of its bounded closed retracts, endowed with the Hausdorff metric, we prove that retractions on elements $A \in \A$ can be chosen to dep…
A unified construction yielding precisely Hilbert and James sequences spaces
Dušan Repovš, Pavel V. Semenov
Following James' approach, we shall define the Banach space for each vector with . The construction immediately implies that…
Ernest Michael and theory of continuous selections
Dušan Repovš, Pavel V. Semenov
This is the introductory paper to the special issue of Topology and Its Applications entirely dedicated to the theory of continuous selections of multivalued mappings. Since the pi…
Hereditary invertible linear surjections and splitting problems for selections
Dušan Repovš, Pavel V. Semenov
Let be the pointwise (Minkowski) sum of two convex subsets and of a Banach space. Is it true that every continuous mapping splits into a sum of…