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20002025
most citedHomeomorphism and diffeomorphism groups of non-compact manifolds with the Whitney topology

9 citations · 30 across the 19 of their papers we have counts for

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math.GT2025

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…

math.GT2022

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…

math.GT2019★ 1 cited

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…

math.GT2013

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…

math.GT2012

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…

math.GT2010★ 1 cited

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…