9 citations · 30 across the 19 of their papers we have counts for
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Diffeomorphism groups of non-compact manifolds endowed with the Whitney C^infty-topology
Taras Banakh, Tatsuhiko Yagasaki
Suppose M is a non-compact connected n-manifold without boundary, DD(M) is the group of C^\infty-diffeomorphisms of M endowed with the Whitney C^\infty-topology and DD_0(M) is the…
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.
Topological (\prod^ω\ell_2, \sum^ω\ell_2)-factors of diffeomorphism groups of non-compact manifolds
Tatsuhiko Yagasaki
Suppose M is a non-compact connected smooth n-manifold. Let D(M) denote the group of diffeomorphisms of M endowed with the compact-open C^\infty-topology and D^c(M) denote the subg…