In this paper, we investigate the finiteness of the Reidemeister number R(f) of a selfmap f:M → M on an infra-nilmanifold M. We show that the Reidemeister number of an Anosov diffeomorphism on an infra-nilmanifold is always finite. A manifold M is said to have the R∞ property if R(f) = ∞ for every homeomorphism f:M → M. We show that every non-orientable generalised Hantzsche-Wendt manifold has the R∞ property. For an orientable Hantzsche-Wendt manifold M, we formulate a criterion, in terms of an associated graph, for M to have the R∞ property. © 2009 Juliusz Schauder Center for Nonlinear Studies.SCOPUS: ar.jinfo:eu-repo/semantics/publishe
AbstractA theorem of D. Anosov states that, for any selfmap f: M → M of a compact nilmanifold M, N(f...
In [A. L. Fel’shtyn and R. Hill, The Reidemeister zeta function with applications to Nielsen theory...
It is conjectured that every closed manifold admitting an Anosov diffeomorphism is, up to homeomorph...
In this paper, we investigate the finiteness of the Reidemeister number $R(f)$ of a selfmap $f\col...
Expanding maps and Anosov diffeomorphisms are important types of dynamical systems since they were a...
Every expanding map on a closed manifold is topologically conjugate to an expanding map on an infra-...
AbstractLet us consider a compact orientable manifold M and (f,g) a pair of selfmaps of M. When M be...
AbstractD. Anosov shows that N(f)=|L(f)| for all continuous selfmaps f on a nilmanifold. For a given...
AbstractInfra-nilmanifolds are a natural generalization of the flat Riemannian manifolds. Together t...
© 2016 Juliusz Schauder Centre for Nonlinear Studies Nicolaus Copernicus University. Every expanding...
We prove that N ( f) = |L ( f) | for any continuous map f of a given infranilmanifold with Abelian h...
An infra-nilmanifold is a manifold which is constructed as a~quotient space $\Gamma\setminus G$ of a...
The relative Reidemeister number, denoted by $\text{\rm R}(f;X,A)$, is an upper bound for the rela...
AbstractIn this paper we establish an algebraic characterization of those infra-nilmanifolds modeled...
AbstractThe Reidemeister number R(f) is an upper bound for the Nielsen number N(f) of a selfmap f. F...
AbstractA theorem of D. Anosov states that, for any selfmap f: M → M of a compact nilmanifold M, N(f...
In [A. L. Fel’shtyn and R. Hill, The Reidemeister zeta function with applications to Nielsen theory...
It is conjectured that every closed manifold admitting an Anosov diffeomorphism is, up to homeomorph...
In this paper, we investigate the finiteness of the Reidemeister number $R(f)$ of a selfmap $f\col...
Expanding maps and Anosov diffeomorphisms are important types of dynamical systems since they were a...
Every expanding map on a closed manifold is topologically conjugate to an expanding map on an infra-...
AbstractLet us consider a compact orientable manifold M and (f,g) a pair of selfmaps of M. When M be...
AbstractD. Anosov shows that N(f)=|L(f)| for all continuous selfmaps f on a nilmanifold. For a given...
AbstractInfra-nilmanifolds are a natural generalization of the flat Riemannian manifolds. Together t...
© 2016 Juliusz Schauder Centre for Nonlinear Studies Nicolaus Copernicus University. Every expanding...
We prove that N ( f) = |L ( f) | for any continuous map f of a given infranilmanifold with Abelian h...
An infra-nilmanifold is a manifold which is constructed as a~quotient space $\Gamma\setminus G$ of a...
The relative Reidemeister number, denoted by $\text{\rm R}(f;X,A)$, is an upper bound for the rela...
AbstractIn this paper we establish an algebraic characterization of those infra-nilmanifolds modeled...
AbstractThe Reidemeister number R(f) is an upper bound for the Nielsen number N(f) of a selfmap f. F...
AbstractA theorem of D. Anosov states that, for any selfmap f: M → M of a compact nilmanifold M, N(f...
In [A. L. Fel’shtyn and R. Hill, The Reidemeister zeta function with applications to Nielsen theory...
It is conjectured that every closed manifold admitting an Anosov diffeomorphism is, up to homeomorph...
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