10 citations · 31 across the 4 of their papers we have counts for
5 papers
Metric compactifications and coarse structures
Kotaro Mine, Atsushi Yamashita
Let be the category of totally bounded, locally compact metric spaces with the coarse structures. We show that if and are in then and…
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…
Detecting topological groups which are (locally) homeomorphic to LF-spaces
T. Banakh, K. Mine, D. Repovs +2
We present a simple-to-apply criterion for recognizing topological groups that are (locally) homeomorphic to LF-spaces.
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…