1 citations · 2 across the 4 of their papers we have counts for
6 papers
Uniform Lefschetz fixed-point theory
Tsuyoshi Kato, Daisuke Kishimoto, Mitsunobu Tsutaya
We develop the Lefschetz fixed-point theory for noncompact manifolds of bounded geometry and uniformly continuous maps. Specifically, we define the uniform Lefschetz class $\mathsc…
Morse inequalities for noncompact manifolds
Tsuyoshi Kato, Daisuke Kishimoto, Mitsunobu Tsutaya
We establish Morse inequalities for a noncompact manifold with a cocompact and properly discontinuous action of a discrete group, where Morse functions are not necessarily invarian…
Hilbert bundles with ends
Tsuyoshi Kato, Daisuke Kishimoto, Mitsunobu Tsutaya
Given a countable metric space, we can consider its end. Then a basis of a Hilbert space indexed by the metric space defines an end of the Hilbert space, which is a new notion and…
De Rham cohomology of the weak stable foliation of the geodesic flow of a hyperbolic surface
Hirokazu Maruhashi, Mitsunobu Tsutaya
We compute the de Rham cohomology of the weak stable foliation of the geodesic flow of a connected orientable closed hyperbolic surface with various coefficients. For most of the c…
-index, topological dynamics and marker property
Masaki Tsukamoto, Mitsunobu Tsutaya, Masahiko Yoshinaga
Given an action of a finite group , we can define its index. The -index roughly measures a size of the given -space. We explore connections between the -index theory an…
A short proof for tc(K) = 4
Norio Iwase, Michihiro Sakai, Mitsunobu Tsutaya
We show a method to determine topological complexity from the fibrewise view point, which provides an alternative proof for tc(K) = 4, where K denotes Klein bottle.