9 citations · 17 across the 4 of their papers we have counts for
5 papers
Recognizing the topology of the space of closed convex subsets of a Banach space
Taras Banakh, Ivan Hetman, Katsuro Sakai
Let be a Banach space and be the space of non-empty closed convex subsets of , endowed with the Hausdorff metric . We prove that each connected component of…
On homeomorphism groups of non-compact surfaces, endowed with the Whitney topology
Taras Banakh, Kotaro Mine, Katsuro Sakai +1
We prove that for any non-compact connected surface the group of compactly suported homeomorphisms of endowed with the Whitney topology is homeomorphic to $R^\inft…
Spaces of maps into topological group with the Whitney topology
Taras Banakh, Kotaro Mine, Katsuro Sakai +1
Let X be a locally compact Polish space and G a non-discrete Polish ANR group. By C(X,G), we denote the topological group of all continuous maps f:X \to G endowed with the Whitney…
Homeomorphism and diffeomorphism groups of non-compact manifolds with the Whitney topology
Taras Banakh, Kotaro Mine, Katsuro Sakai +1
For a non-compact n-manifold M let H(M) denote the group of homeomorphisms of M endowed with the Whitney topology and H_c(M) the subgroup of H(M) consisting of homeomorphisms with…
Hausdorff hyperspaces of and their dense subspaces
Wieslaw Kubis, Katsuro Sakai
Let denote the hyperspace of closed bounded subsets of a metric space , endowed with the Hausdorff metric topology. We prove, among others, that natural dense subspac…