9 citations · 30 across the 19 of their papers we have counts for
22 papers
Note on the induced metric on power sets of groups
Tatsuhiko Yagasaki
In this note we clarify general properties of the Hausdorff-like metric on the power set of a group induced from word length norm and obtain some results on quasi…
Boundedness of diffeomorphism groups of manifold pairs -- Circle case --
Kazuhiko Fukui, Tatsuhiko Yagasaki
In this paper we study boundedness of conjugation invariant norms on diffeomorphism groups of manifold pairs. For the diffeomorphism group o…
Boundedness of bundle diffeomorphism groups over a circle
Kazuhiko Fukui, Tatsuhiko Yagasaki
In this paper we study boundedness of bundle diffeomorphism groups over a circle. For a fiber bundle with fiber and structure group and $r \in {\Bbb Z}_{\geq…
The uniform perfectness of diffeomorphism groups of open manifolds
Kazuhiko Fukui, Tomasz Rybicki, Tatsuhiko Yagasaki
In this paper we study the uniform perfectness, boundedness and uniform simplicity of diffeomorphism groups of compact manifolds with boundary and open manifolds and obtain some up…
Local and end deformation theorems for uniform embeddings
Tatsuhiko Yagasaki
A local deformation property for uniform embeddings in metric manifolds (LD) is formulated and its behaviour is studied in a formal view point. It is shown that any metric manifold…
Groups of uniform homeomorphisms of covering spaces
Tatsuhiko Yagasaki
In this paper we deduce a local deformation lemma for uniform embeddings in a metric covering space over a compact manifold from the deformation lemma for embeddings of a compact s…